The symbol * indicates an invited talk at an international conference.

- 1.
**Centrally ergodic one-parameter automorphism groups of semifinite von Neumann algebras**

Functional Analysis Seminar, UCLA (U.S.A.), May 1987. - 2.
**Centrally ergodic one-parameter automorphism groups of semifinite von Neumann algebras**

Operator Algebra Seminar, University of Warwick (U.K.), June 1987. - 3.
**Centrally ergodic one-parameter automorphism groups of semifinite von Neumann algebras**

The 22nd Functional Analysis Meeting, Oita (Japan), August 1987. - 4.
**One-parameter automorphism groups of the hyperfinite II**_{1}factor

Conference "Operator Algebras", U.S. Naval Academy (U.S.A.), June 1988. - 5.
**One-parameter automorphism groups of the hyperfinite II**_{1}factor

Tokyo Metropolitan University Colloquium (Japan), July 1988. - 6.
**One-parameter automorphism groups of the hyperfinite II**_{1}factor

Seminar, Mittag-Leffler Institute (Sweden), September 1988. - 7.
**One-parameter automorphism groups of the hyperfinite II**_{1}factor

Seminar, Collège de France (France), October 1988. - 8.
**One-parameter automorphism groups of the irrational rotation C**^{*}-algebra

Algebraic Analysis Seminar, the University of Tokyo (Japan), December 1988. - 9.
**One-parameter automorphism groups of the irrational rotation C**^{*}-algebra

Seminar, Mittag-Leffler Institute (Sweden), May 1989. - 10.
**One-parameter automorphism groups of the irrational rotation C**^{*}-algebra

Colloquium, the University of Tokyo (Japan), July 1989. - 11.
**Injective factors and their automorphism groups**

The 24th Functional Analysis Meeting, Kusatsu (Japan), July 1989. - 12.
**One-parameter automorphism groups of the irrational rotation C**^{*}-algebra

Annual Meeting on Operator Theory/Operator Algebras, Ito (Japan), October 1989. - 13.
**Classification of actions on compact abelian groups on injective factors**

Algebraic Analysis Seminar, the University of Tokyo (Japan), October 1989. - 14.
**Classification of actions on compact abelian groups on injective factors**

Colloquium, Nihon University (Japan), November 1989. - 15.
**1-cocyles on a hyperfinite II**_{1}groupoid

Symposium "Ergodic theory and related fields", Kyoto (Japan), January 1990. - 16.
**Cohomology of discrete group actions on II**_{1}factors

Colloquium, Nihon University (Japan), May 1990. - 17.
**Group actions on injective factors**

*ICM-satellite Conference "Current Topics in Operator Algebras", Nara (Japan), August 1990. - 18.
**Automorphisms preserving subfactors with finite Jones index**

Annual meeting on Operator Theory/Operator Algebras, RIMS, Kyoto University (Japan), October 1990. - 19.
**Flat connections on Dynkin diagrams and classification of subfactors**

Analysis Seminar, the University of Tokyo (Japan), November 1990. - 20.
**Flat connections on Dynkin diagrams and classification of subfactors**

Seminar, RIMS, Kyoto University (Japan), January 1991. - 21.
**Exactly solvable orbifold models and subfactors**

The 13th Applied Analysis Symposium, Tokyo (Japan), April 1991. - 22.
**Introduction to paragroups**

Workshop on paragroups and combinatorics, University of Tsukuba (Japan), April 1991. - 23.
**Exactly solvable orbifold models and subfactors**

Colloquium, Hokkaido University (Japan), April 1991. - 24.
**Exactly solvable orbifold models and subfactors**

Colloquium, the University of Tokyo (Japan), May 1991. - 25.
**Exactly solvable orbifold models and subfactors**

Colloquium, Nihon University (Japan), June 1991. - 26.
**Introduction to paragroups**

Geometry Colloquium, the University of Tokyo (Japan), July 1991. - 27.
**Introduction to paragroups**

The 26th Functional Analysis Meeting, Kobe (Japan), July 1991. - 28.
**Exactly solvable orbifold models and subfactors**

The 26th Functional Analysis Meeting, Kobe (Japan), July 1991. - 29.
**Exactly solvable orbifold models and subfactors**

*Conference "Functional Analysis and Related Topics", RIMS, Kyoto University (Japan), July 1991. - 30.
**Exactly solvable orbifold models and subfactors**

Functional Analysis Colloquium, UC Berkeley (U.S.A.), September 1991. - 31.
**Flat connections, the Yang-Baxter equation, and orbifold subfactors**

*Conference "C^{*}-Algebren", Oberwolfach (Germany), October 1991. - 32.
**The Yang-Baxter equation, flat connections and Hecke algebra subfactors**

Colloquium, Odense University (Denmark), October 1991. - 33.
**On Haagerup's construction of subfactors with finite depth and small index**

Subfactor Seminar, UC Berkeley (U.S.A.), November 1991. - 34.
**Exactly solvable orbifold models and subfactors**

Subfactor Seminar, UC Berkeley (U.S.A.), January--February 1992. - 35.
**The Yang-Baxter equation, flat connections and Hecke algebra subfactors**

Subfactor Seminar, UC Berkeley (U.S.A.), February 1992. - 36.
**The Yang-Baxter equation, flat connections and Hecke algebra subfactors**

Colloquium, UCLA (U.S.A.), April 1992. - 37.
**Orbifold construction, a discrete analogue of modular automorphism group, and a relative version of Connes' chi(M) for subfactors**

Functional Analysis Seminar, UCLA (U.S.A.), April 1992. - 38.
**Orbifold construction, a discrete analogue of modular automorphism group, and a relative version of Connes' chi(M) for subfactors**

Colloquium, University College of Swansea (U.K.), May 1992. - 39.
**Orbifold construction, a discrete analogue of modular automorphism group, and a relative version of Connes' chi(M) for subfactors**

Conference "Algebres d'Operateurs 92", Orléans (France), July 1992. - 40.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Seminar, Nagoya University (Japan), August 1992. - 41.
**Orbifold construction and an analogue of Connes chi(M) for subfactors**

*Symposium "Invariants in Operator Algebra", Copenhagen (Denmark), August 1992. - 42.

Seminar, Osaka Kyoiku University (Japan), October 1992. - 43.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Seminar, Osaka Kyoiku University (Japan), October 1992. - 44.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Seminar, the University of Tokyo (Japan), October 1992. - 45.

Annual Meeting on Operator Theory/Operator Algebras, Niigata (Japan), November 1992. - 46.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Geometry Colloquium, University of Tokyo (Japan), November 1992. - 47.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Meeting "Algebraic Combinatorics and low-dimensional topology", RIMS, Kyoto University (Japan), December 1992. - 48.
**Subfactors, rational conformal field theory, and topological quantum field theory**

Colloquium, Hokkaido University (Japan), December 1992. - 49.
**Subfactors, quantum 6j-symbols, and Turaev-Viro type topological invariants of 3-manifolds**

Meeting "Quantum Groups and Operator Algebras", Yokohama City University (Japan), January 1993. - 50.
**Subfactors, rational conformal field theory, and topological quantum field theory**

Seminar, Yokohama City University (Japan), February 1993. - 51.
**Subfactors, rational conformal field theory, and topological quantum field theory**

Seminar, Università di Roma "Tor Vergata" (Italy), March 1993. - 52.
**Subfactors, rational conformal field theory, and topological quantum field theory**

Mathematical Society of Japan, Tokyo (Japan), March 1993. - 53.
**Classification of paragroup actions on subfactors**

Meeting "Finite discrete structures arising from subfactors", RIMS, Kyoto University (Japan), January 1993. - 54.
**Quantum symmetry in operator algebras**

Seminar, the University of Tokyo (Japan), June 1993. - 55.
**Classification of paragroup actions on subfactors**

*Taniguchi Symposium "Operator Algberas", Katata (Japan), July 1993. - 56.
**Quantum symmetry in operator algebras**

Symposium on Real Analysis and Functional Analysis, Hiroshima University (Japan), July 1993. - 57.
**Quantum symmetry in operator algebras**

*Workshop on operator algebras, Pohang (Korea), July 1993. - 58.
**Paragroups and their actions on subfactors**

*CBMS Conference "Classification of amenable subfactors and related topics", University of Oregon (U.S.A.), August 1993. - 59.
**Subfactors and topological quantum field theory**

Colloquium, University College of Swansea (U.K.), October 1993. - 60.
**Topological quantum field theory, quantum double, and subfactors**

Seminar, Nihon University (Japan), November 1993. - 61.
**Topological quantum field theory, quantum double, and subfactors**

Meeting "Operator Algebras and related fields", Tokyo (Japan), December 1993. - 62.
**Topological quantum field theory, chirality, and subfactors**

Meeting "Operator Algebras and related fields", Tokyo (Japan), December 1993. - 63.
**Topological quantum field theory, quantum double, and subfactors**

Seminar, the University of Tokyo (Japan), February 1994. - 64.
**Orbifold subfactors, central sequences, and the relative Jones invariant kappa**

*Conference "C^{*}-Algebren", Oberwolfach (Germany), February 1994. - 65.
**Topological quantum field theory, quantum double, and subfactors**

Colloquium, Nihon University (Japan), March 1994. - 66.
**Topological quantum field theory, quantum double, and subfactors**

Mathematical Society of Japan, Kobe University (Japan), April 1994. - 67.
**Orbifold subfactors, central sequences, and the relative Jones invariant kappa**

*West Coast Operator Algebra Seminar, UCLA (U.S.A.), September 1994. - 68.
**Central sequences in von Neumann algebras**

Video Seminar, University of Wales Swansea (U.K.), October 1994. - 69.
**From paragroups to rational conformal field theory**

Meeting "Operator Algebras and Hopf Algebras", Tokyo (Japan), December 1994. - 70.
**Introduction to Ocneanu's paragroup theory**

Seminar, Fields Institute (Canada), April 1995. - 71.
**Orbifold subfactors**

*Workshop "Low dimensional topology, statistical mechanics and quantum field theory", Fields Institute (Canada), April 1995. - 72.
**Classification of automrophisms of subfactors**

Canadian Operator Symposium, Fields Institute (Canada), June 1995. - 73.
**A new outer conjugacy invariant and a classification of automorphisms of subfactors**

*Workshop "Operator Algebras and Topology", University of Aarhus (Denmark), June 1995. - 74.
**Classification of automrophisms of subfactors**

Seminar, University of Wales, Swansea (U.K.), July 1995. - 75.
**A new outer conjugacy invariant and a classification of automorphisms of subfactors**

*Conference "C^{*}-algebras and their invariants", University College, Cork (Ireland), July 1995. - 76.
**Classification of automrophisms of subfactors**

Meeting "Bimodules in operator algebras theory", RIMS, Kyoto University (Japan), September 1995. - 77.
**Classification of automrophisms of subfactors**

*Conference "C^{*}-Algebras and their applications", Yamanaka-ko (Japan), February 1996. - 78.
**Subfactors and the quantum double construction**

Video Seminar, University of Wales, Swansea (U.K.), March 1996. - 79.
**Quantum doubles of the Hecke algebra subfactors and orbifolds**

*Conference "C^{*}-Algebren", Oberwolfach (Germany), April 1996. - 80.
**Quantum doubles, orbifold subfactors and braiding**

*Conference "Operator algebras and quantum field theory", Rome (Italy), July 1996. - 81.
**Introduction to 3-dimensional topology for operator algebraists**

31st Functional Analysis Meeting, Kobe (Japan), July 1996. - 82.
**Quantum double and degenerate braiding**

Tokyo Operator Algebra Seminar, Ochanomizu Women's University (Japan), July 1996. - 83.
**Quantum doubles of the Hecke algebra subfactors and orbifolds**

Annual Meeting on Operator Theory/Operator Algebras, Takatsuki (Japan), October 1996. - 84.
**Quantum doubles and orbifold subfactors**

*International Conference on Opearator Algebras, Madras (India), January 1997. - 85.
**A rigidity theorem on 6j-symbols (after Ocneanu)**

Meeting "Topics around operator algebras", the University of Tokyo (Japan), February 1997. - 86.
**Commuting squares and equivalent systems of bimodules**

Operator algebra seminar, Odense University (Denmark), March 1997. - 87.
**Subfactors and quantum doubles**

Colloquium, Odense University (Denmark), March 1997. - 88.
**Commuting squares and equivalent systems of bimodules**

Operator algebra seminar, University of Copenhagen (Denmark), April 1997. - 89.
**Topological quantum field theories and operator algebras**

Colloquium, University of Copenhagen (Denmark), April 1997. - 90.
**Subequivalent systems of bimodules**

Meeting "Profound development in operator algebras", RIMS, Kyoto University (Japan), May 1997. - 91.
**Equivalent subfactors and quantum Galois correspondence**

*International Conference on Operator Algebras and Operator Theory, Shanghai (China), July 1997. - 92.
**Equivalent subfactors and quantum Galois correspondence**

*Conference "Von Neumann algebras and dynamical systems", Nordfjordeid (Norway), August 1997. - 93.
**Equivalent subfactors and quantum Galois correspondence**

Seminar, Università di Roma "Tor Vergata" (Italy), September 1997. - 94.
**Quantum Galois correspondence for subfactors and sublattices of a standard lambda-lattice**

*Conference on C^{*}-algebras and its applications, Yamanaka-ko Seminar House of Nihon University (Japan), January 1998. - 95.
**Quantum Galois correspondence for subfactors and sublattices of a standard lambda-lattice**

*Conference "C^{*}-Algebren", Oberwolfach (Germany), February 1998. - 96.
**Double triangle algebras for subfactors and conformal inclusions**

Video Seminar, University of Wales, Swansea (U.K.), April 1998. - 97.
**The quantum Galois theory for operator algebras**

Colloquium, UCLA (U.S.A.), April 1998. - 98.
**Modular invariants, conformal inclusions, and double triangle algebras for subfactors**

*Conference "C^{*}-algebras and non-commutative geometry", University of Copenhagen (Denmark), August 1998. - 99.
**Application of Ocneanu's graphical methods to nets of subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), September 1998. - 100.
**Topological invariants of 3-manifolds arising from operator algebras**

Seminar, Università di Pisa (Italy), November 1998. - 101.
**Modular invariants and subfactors**

Video seminar, University of Wales, Cardiff (U.K.), December 1998. - 102.
**Chiral projectors and alpha-induction for subfactors**

the University of Tokyo (Japan), Operator Algebra Seminar, December 1998. - 103.
**Modular invariants and subfactors**

Seminar, University of Rome "La Sapienza" (Italy), January 1999. - 104.
**Mutil-interval subfactors and modularity of representations in conformal field theory**

the University of Tokyo (Japan), Operator Algebra Seminar, April 1999. - 105.
**Multi-interval subfactors for a net of von Neumann algebras on R**

*U.S.-Japan Seminar "Operator algebras and their applications", Kyushu (Japan), June 1999. - 106.
**Longo-Rehren subfactors arising from alpha-induction**

Video seminar, University of Wales, Cardiff (U.K.), September 1999. - 107.
**Introduction to subfactors**

*Workshop on modular invariants, operator algebras,and quotient singularities, University of Warwick (U.K.), September 1999. - 108.
**Modular invariants and subfactors**

Colloquium, Odense University (Denmark), September 1999. - 109.
**Longo-Rehren subfactors arising from alpha-induction**

Operator algebra seminar, Odense University (Denmark), October 1999. - 110.
**Longo-Rehren subfactors arising from alpha-induction**

the University of Tokyo (Japan), Operator Algebra Seminar, October 1999. - 111.
**Modular invariants and subfactors**

Annual Meeting on Operator Theory/Operator Algebras, Okayama University (Japan), November 1999. - 112.
**Modular invariants and subfactors**

Colloquium, Kyoto University (Japan), November 1999. - 113.
**Introduction to Kazhdan's property T**

the University of Tokyo (Japan), Operator Algebra Seminar, December 1999. - 114.
**Longo-Rehren subfactors arising from alpha-induction**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2000. - 115.
**Twisted Longo-Rehren subfactors**

the University of Tokyo (Japan), Operator Algebra Seminar, April 2000. - 116.
**Generalized Longo-Rehren subfactors and alpha-induction**

Meeting on Operator Algebras, RIMS, Kyoto University (Japan), June 2000. - 117.
**Generalized Longo-Rehren subfactors and alpha-induction**

*Conference Mathematical Physics in Mathematics and Physics, Siena (Italy), June 2000. - 118.
**Alpha-induction and Longo-Rehren subfactors**

*The 18th International Conference on Operator Theory, Timisoara (Romania), June 2000. - 119.
**McKay correspondence in the theory of subfactors**

*Japan-Britain joint research project 2000, University of Warwick (U.K.), August 2000. - 120.
**Braiding, modular invariants, and subfactors**

Operator Algebra Seminar, MSRI (U.S.A.), October 2000. - 121.
**Braiding, modular invariants, and subfactors**

Subfactor Seminar, UC Berkeley (U.S.A.), October-November 2000. - 122.
**Braiding and extension of endomorphisms of operator algebras**

*Workshop "Modular Invariance, ADE, Subfactors, and Geometry of Moduli Spaces", Kansai Seminar House, Kyoto (Japan), November 2000. - 123.
**Braiding and extension of endomorphisms of operator algebras**

*Workshop "Subfactors and Algebraic Aspects of Quantum Field Theory", MSRI (U.S.A.), December 2000. - 124.
**Subfactors and extensions of endomorphisms**

Operator algebra seminar, UC Santa Barbara (U.S.A.), January 2001. - 125.
**Operator algebras and topological quantum field theory**

Colloquim, UC Santa Barbara (U.S.A.), January 2001. - 126.
**Longo-Rehren subfactors arising from alpha-induction**

Operator Algebra Seminar, MSRI (U.S.A.), February 2001. - 127.
**Multi-interval subfactors arising from nets of subfactors on the circle**

Functional Analysis Seminar, UCLA (U.S.A.), April 2001. - 128.
**Quantum doubles in operator algebra theory**

Analysis Seminar, University of Illinois at Urbana Champaign (U.S.A.), April 2001. - 129.
**Quantum field theory and subfactors**

Wabash Extramural Modern Analysis Seminar (U.S.A.), April 2001. - 130.
**Subfactors and extensions of endomorphisms**

Analysis Seminar, University of Oregon (U.S.A.), May 2001. - 131.
**Multi-interval subfactors arising from nets of subfactors on the circle**

Functional Analysis Colloquium, UC Berkeley (U.S.A.), May 2001. - 132.
**Quantum field theory and subfactors**

Colloquium, University of Oregon (U.S.A.), May 2001. - 133.
**Nets of subfactors on the circle**

*4th Operator Algebras International Conference, Constanta (Romania), July 2001. - 134.
**Multi-interval subfactors arising from nets of subfactors on the circle**

Seminar, Università di Roma "Tor Vergata" (Italy), September 2001. - 135.
**Quantum doubles in operator algebra theory**

Colloquium, Chinese Academy of Sciences (China), October 2001. - 136.
**Nets of subfactors on the circle**

*International Workshop on Operator Algebras and Operator Theory, Linfen (China), October 2001. - 137.
**Nets of subfactors on the circle**

Annual Meeting on Operator Theory/Operator Algebras, Yufuin (Japan), November 2001. - 138.
**Quantum field theory and subfactors**

Colloquium, Hokkaido University (Japan), December 2001. - 139.
**Classification of local conformal nets: case c < 1**

*Conference "C^{*}-Algebren", Oberwolfach (Germany), December 2001. - 140.
**Operator algebras and topological quantum field theory**

*Conference "Low dimensional topology for tomorrow", RIMS, Kyoto University (Japan), January 2002. - 141.
**Classification of local conformal nets: case c < 1**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2002. - 142.
**Classification of local conformal nets: case c < 1**

Seminar, University of Rome "La Sapienza" (Italy), March 2002. - 143.
**Subfactor theory and its applications --- Operator algebras and quantum field theory ---**

Annual meeting of Mathematical Society of Japan, Plenary address, Meiji University (Japan), March 2002. - 144.
**Classification of local conformal nets: case c < 1**

*AMS Summer Research Conference "Advances in Quantum Dynamics", Mount Holyoke College (U.S.A.), June 2002. - 145.
**Classification of local conformal nets: case c < 1**

*Miniworkshop "Index theorems and modularity in operator algebras", Oberwolfach (Germany), June 2002. - 146.
**Classification of local conformal nets: case c < 1**

*The 19th International Conference on Operator Theory, Timisoara (Romania), July 2002. - 147.
**Classification of local conformal nets: case c < 1**

*Frontier of Non Commutative Analysis and Mathematical Quantum Theory, Fukuoka (Japan), August 2002. - 148.
**Classification of local conformal nets: case c < 1**

*Operator Algebras and Applications (a satellite to ICM-2002), Chengde (China), August 2002. - 149.
**Topological quantum field theories arising from operator algebras**

*International Workshop on Quantum Field Theory and Noncommutative Geometry, Tohoku University (Japan), November 2002. - 150.
**Topological invariants of 3-manifolds arising from subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), December 2002. - 151.
**Classification of operator algebraic conformal field theories by representation categories**

*Workshop Categorical Algebra, Deformation Theory and Field Theory II, Kyoto University (Japan), December 2002. - 152.
**Classification of operator algebraic conformal field theories**

*Miniworkshop Conformal Field Theory: Introduction, Università di Roma "Tor Vergata" (Italy), March 2003. - 153.
**Classification of 2-dimensional conformal field theories and 2-cohomology vanishing for tensor categories**

*Conference Recent Advances in von Neumann Algebras, UCLA (U.S.A.), May 2003. - 154.
**Classification of 2-dimensional conformal field theories and 2-cohomology vanishing for tensor categories**

the University of Tokyo (Japan), Operator Algebra Seminar, May 2003. - 155.
**Classification of 2-dimensional conformal field theories and 2-cohomology vanishing for tensor categories**

*Conference Operator Algebras and Mathematical Physics, Sinaia (Romania), July 2003. - 156.
**Classification of operator algebraic conformal field theories**

*XIV International Congress on Mathematical Physics - ICMP 2003, Lisbon (Portugal), July 2003. - 157.
**Classification of operator algebraic conformal field theories**

Mathematical Society of Japan, Chiba University (Japan), September 2003. - 158.
**Classification of conformal field theories and operator algebras**

"Interdisciplinary research on mathematical structures in string theory and gravity theory", Rikkyo University (Japan), September 2003. - 159.
**On classification of local conformal nets (three talks)**

"Dynamical systems related to C^{*}-algebras", RIMS, Kyoto University (Japan), January 2004. - 160.
**Classification of 2-dimensional conformal field theories**

Mini-Workshop on Operator Algebras and Quantum Physics, Rome (Italy), March 2004. - 161.
**Local conformal nets and vertex operator algebras**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2004. - 162.
**Operator algebras and vertex operator algebras in quantum field theory**

*Tensor Categories in Mathematics and Physics, Erwin Schrödinger Institute, Vienna (Austria), June 2004. - 163.
**Operator algebras and vertex operator algebras**

*The 20th International Conference on Operator Theory, Timisoara (Romania), July 2004. - 164.
**Operator algebras and vertex operator algebras**

*Quantum Groups, Haifa (Israel), July 2004. - 165.
**Operator algebras and vertex operator algebras**

*Perspectives arising from vertex algebra theory, Osaka (Japan), November 2004. - 166.
**Operator algebras and vertex operator algebras**

University of Tsukuba (Japan), Colloquium, December 2004. - 167.
**Quantum field theory, operator algebra, and framed vertex operator algebras**

Seminar "Algebraische Quantenfeldtheorie und Statistische Mechanik", Universität Göttingen (Germany), December 2004. - 168.
**Nets of operator algebras and vertex operator algebras**

Seminar, Univ. Southern Denmark (Denmark), February 2005. - 169.
**Nets of operator algebras and vertex operator algebras**

Operator algebra seminar, University of Copenhagen (Denmark), February 2005. - 170.
**Vertex operator algebras and operator algebras**

Miniworkshop Topics in Operator Algebras, Università di Roma "Tor Vergata" (Italy), March 2005. - 171.
**Conformal field theory, operator algebras and vertex operator algebras**

Mathematical Society of Japan, Special Lecture, Nihon University (Japan), March 2005. - 172.
**Extensions of operator algebras and vertex operator algebras**

*Symposium honoring the memory of Gert K. Pedersen, Copenhagen (Denmark), April 2005. - 173.
**Classification of extensions in algebraic quantum field theory and vertex operator algebras**

*Third Spring Institute on Noncommutative Geometry and Operator Algebras, Nashville (U.S.A.), May 2005. - 174.
**Conformal nets of operator algebras and vertex operator algebras**

*Summer School "Vertex Algebras and Related Topics", Erwin Schrödinger Institute, Vienna (Austria), June 2005. - 175.
**Classification of conformal field theories with operator algebras**

*Asian Mathematical Conference 2005, Singapore (Singapore), July 2005. - 176.
**Operator algebras and conformal field theory**

"Conformal Field Theory, Operator Algebras and Modular Tensor Categories", Osaka Senri Life Science Center, Osaka (Japan), September 2005. - 177.
**Conformal field theory, operator algebras and vertex operator algebras**

Micro-Macro duality in quantum analysis, RIMS, Kyoto University (Japan), November 2005. - 178.
**Operator algebras and Moonshine**

Annual meeting on Operator Theory and Operator Algebras, Okayama (Japan), November 2005. - 179.
**Operator algebras and Moonshine**

*International Conference on Operator Algebras and their connections to Mathematical Physics, Settat (Morocco), November 2005. - 180.
**Operator algebras and boundary CFT**

Kansai Operator Algebra Seminar, Osaka Kyoiku University (Japan), December 2005. - 181.
**Noncommutative spectral invariants and black hole entropy**

the University of Tokyo (Japan), Operator algebra seminar, January 2006. - 182.
**Topological invariants of 3-manifolds arising from subfactors**

Seminar, UC Riverside (U.S.A.), March 2006. - 183.
**Operator algebras and conformal field theory**

Seminar, UC Riverside (U.S.A.), March 2006. - 184.
**Conformal field theory and operator algebras**

*Workshop "Generalized McKay correspondences and representation theory", MSRI (U.S.A.), March 2006. - 185.
**Operator algebras and Moonshine**

Probabilistic Operator Algebra Seminar, UC Berkeley (U.S.A.), March 2006. - 186.
**Operator algebras and Moonshine**

Functional Analysis Seminar, UCLA (U.S.A.), March 2006. - 187.
**Local conformal nets and their representation theory (three talks)**

Infinite Dimensional Lie Algebras and Local von Neumann Algebras in CFT, Banff International Research Station (Canada), May 2006. - 188.
**Cyclotomic fields and subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), June 2006. - 189.
**Operator algebras and conformal field theory**

The XVth International Colloquium on Integrable Systems and Quantum Symmetries, Prague (Czech), June 2006. - 190.
**Boundary conformal field theory and operator algebras**

*The 21st International Conference on Operator Theory, Timisoara (Romania), July 2006. - 191.
**Conformal field theory and operator algebras**

*International Congress on Mathematical Physics - ICMP 2006, (Plenary talk), Rio de Janeiro (Brazil), August 2006. (slides) - 192.
**Superconformal nets of factors and their classification**

*Topics in von Neumann algebras, Banff International Research Station (Canada), September 2006. - 193.
**Superconformal nets of factors and their classification**

*Recent advances in operator algebras, Rome (Italy), November 2006. - 194.
**Operator algebras and Moonshine**

Seminaires de l'equipe de Mathematique Physique, Universite de Bourgogne (France), November 2006. - 195.
**Conformal field theory and operator algebras**

*MSJ-IHES Joint Workshop on Noncommutativity, IHES (France), November 2006. - 196.
**Operator algebraic approach to boundary CFT and classification results**

Micro-macro duality in quantum analysis, RIMS, Kyoto University (Japan), December 2006. - 197.
**Superconformal field theory and operator algebras**

*Operator Algebras and Related Fields, Hawaii (U.S.A.), January 2007. - 198.
**Quantum field theory and operator algebras**

Fucntional Analysis Seminar, UCLA (U.S.A.), February 2007. - 199.
**Conformal field theory and operator algebra**

Colloquium, Università di Roma "Tor Vergata" (Italy), March 2007. - 200.
**Classification of superconformal nets of factors**

*Conference on Free Probability/Operator Spaces/von Neumann algebras, Sibiu (Romania), June 2007. - 201.
**Supersymmetry in operator algebras**

New Development of Operator Algebras, RIMS, Kyoto University (Japan), September 2007. - 202.
**Conformal field theory and representation theory of von Neumann algebras**

Operator Algebras Seminars, Fields Institute (Canada), September 2007. - 203.
**Supersymmetry in operator algebras**

Noncommutative analysis and micro-macro duality, RIMS, Kyoto University (Japan), October 2007. - 204.
**Superconformal field theory and operator algebras**

*Workshop on von Neumann algebras, Fields Institute (Canada), October 2007. - 205.
**Conformal field theory and operator algebras**

Kolloquium für Reine Mathematik, Universität Hamburg (Germany), December 2007. - 206.
**Super moonshine and operator algebras**

*Topics in von Neumann algebras, Banff International Research Station (Canada), March 2008. - 207.
**Moonshine and operator algebras**

Colloquium, Vanderbilt University (U.S.A.), April 2008. - 208.
**Superconformal field theory, super moonshine and operator algebras**

*Shanks Workshop on Subfactors and Planar Algebras, Nashville (U.S.A.), April 2008. - 209.
**Topological quantum field theory and operator algebras**

Colloquium, Rice University (U.S.A.), April 2008. - 210.
**Moonshine and operator algebras**

Linear Analysis Seminar, Texas A&M University (U.S.A.), April 2008. - 211.
**Super moonshine and operator algebras**

*The 22nd International Conference on Operator Theory, Timisoara (Romania), July 2008. - 212.
**Super moonshine and operator algebras**

*Conference "C^{*}-Algebras", Oberwolfach (Germany), August 2008. - 213.
**Moonshine, pariah groups and operator algebras**

*Conference "Von Neumann Algebras and Ergodic Theory of Group Actions", Oberwolfach (Germany), October 2008. - 214.
**Generalized Moonshine and operator algebras**

Annual meeting on Operator Theory and Operator Algebras, Osaka (Japan), November 2008. - 215.
**Superconformal field theory, vertex algebras and operator algebras**

Infinite-dimensional Algebra Seminar, MIT (U.S.A.), February 2009. - 216.
**Supermoonshine, pariah groups and operator algebras**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2009. - 217.
**The super Virasoro algebra and noncommutative geometry**

Operator Algebra Seminar, UC Riverside (U.S.A.), May 2009. - 218.
**The super Virasoro algebra and noncommutative geometry**

Functional Analysis Colloquium, UCLA (U.S.A.), May 2009. - 219.
**The super Virasoro algebra and noncommutative geometry**

the University of Tokyo (Japan), Operator algebra seminar, June 2009. - 220.
**Quantum field theory and operator algebra**

*5th Asian Mathematical Conference, (Plenary talk), Kuala Lumpur (Malaysia), June 2009. - 221.
**Subfactors and representation theory for von Neumann algebras**

*12th Workshop: Non-commutative harmonic analysis, Będlewo (Poland), August 2009. - 222.
**Superconformal field theory, Moonshine and operator algebras**

*12th Workshop: Non-commutative harmonic analysis, Będlewo (Poland), August 2009. - 223.
**Superconformal field theory and noncommutative geometry**

Subfactor Seminar, UC Berkeley (U.S.A.), September 2009. - 224.
**Superconformal field theory and noncommutative geometry**

"Dualities and scales in qiuantum sciences", Yukawa Institute for Theoretical Physics, Kyoto University (Japan), November 2009. - 225.
**Superconformal field theory, operator algebras and noncommutative geometry**

*"Mathematical Quantum Field Theory and Renormalization Theory", Fukuoka (Japan), November 2009. - 226.
**Superconformal field theory, operator algebras and noncommutative geometry**

*Special Session of Operator Theory and Operator Algebras, Joint Meeting of KMS-AMS, Ewha Womans University (Korea), December 2009. - 227.
**Superconformal field theory, operator algebras and noncommutative geometry**

"Operator algebras and geometry of singularities", Kyoto (Japan), January 2010. - 228.
**On the Jones index values for conformal subnets**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2010. - 229.
**Conformal field theory, Moonshine and operator algebras**

Neumann-szeminárium, Alfred Renyi Institute (Hungary), April 2010. - 230.
**Superconformal field theories and operator algebras**

Seminar, Erwin Schrödinger Institute, Vienna (Austria), April 2010. - 231.
**Superconformal field theory and operator algebras**

*The Eighth Spring Institute on Noncommutative Geometry and Operator Algebras, Nashville (U.S.A.), May 2010. - 232.
**Superconformal field theory and operator algebras**

*EU-NCG 3rd Annual Meeting, Cardiff (U.K.), June 2010. - 233.
**Superconformal field theory and operator algebras**

*The 23rd International Conference on Operator Theory, Timisoara (Romania), June 2010. - 234.
**N=2 superconformal field theory and operator algebras**

*13th Workshop: Non-commutative harmonic analysis, Będlewo (Poland), July 2010. - 235.
**Superconformal field theory and operator algebras**

*ICM Satellite Conference on Operator Algebras, Chennai (India), August 2010. - 236.
**Superconformal field theory, operator algebras and noncommutative geometry (3 lectures)**

*Geometry and Physics VIII, Scalea (Italy), September 2010. - 237.
**Superconformal field theory and operator algebras**

*Seminal Interactions between Mathematics and Physics, Rome (Italy), September 2010. - 238.
**Nonstandard analysis for operator algebraists**

the University of Tokyo (Japan), Operator algebra seminar, October 2010. - 239.
**Conformal field theory, operator algebras and noncommutative geometry**

Lecture series (four talks), Institute for Studies in Theoretical Physics and Mathematics, Tehran (Iran), October 2010. - 240.
**Superconformal field theory and noncommutative geometry**

*NCTS (Taiwan)-CPT(France) Joint Workshop on Symplectic Geometry and Quantum Symmetries in Mathematical Physics, Hsinchu (Taiwan), February 2011. - 241.
**Superconformal field theory and noncommutative geometry**

Infinite-dimensional Algebra Seminar, MIT (U.S.A.), March 2011. - 242.
**Superconformal field theory and noncommutative geometry**

Operator algebra seminar, University of Copenhagen (Denmark), April 2011. - 243.
**N=2 superconformal field theory and noncommutative geometry**

*EU-NCG 4th Annual Meeting, Bucharest (Romania), April 2011. - 244.
**N=2 superconformal field theory and operator algebras**

*II_{1}factors: rigidity, symmetries and classification, Paris (France), May 2011. - 245.
**N=2 superconformal field theory and operator algebras**

*Conformal field theories and tensor categories, Beijing (China), June 2011. - 246.
**Spectral triples and the super Virasoro algebras**

Seminar, Fudan University (China), June 2011. - 247.
**Conformal field theory, von Neumann alegbras and noncommutative geometry**

*The Special Week on Operator Algebras, East China Normal University (China), June 2011. - 248.
**Superconformal field theory, operator algebras and nonommutative geometry**

Colloquium, Fudan University (China), June 2011. - 249.
**Operator algebras and quantum field theory**

Sendai Symposium 2011, Tohoku University (Japan), August 2011. - 250.
**Superconformal field theory, operator algebras and noncommutative geometry**

Sendai Symposium 2011, Tohoku University (Japan), August 2011. - 251.
**N=2 superconformal field theory and noncommutative geometry**

*NITheP Workshop 2011 "Constructive and Perturbative Aspects of Quantum Field Theory", Durban (South Africa), August 2011. - 252.
**Superconformal field theory and noncommutative geometry**

*Operator Algebras & Quantum Groups, Warsaw (Poland), September 2011. - 253.
**N=2 superconformal field theory and noncommutative geometry**

*14th Workshop: Non-commutative harmonic analysis, Będlewo (Poland), September 2011. - 254.
**Symmetries in conformal field theory, operator algebras and noncommutative geometry**

*Todai Forum 2011 -- Geometry and Dynamics, Lyon (France), October 2011. - 255.
**Classification and amenability in theory of von Neumann algebras**

the University of Tokyo (Japan), Operator algebra seminar, January 2012. - 256.
**Conformal field theory and noncommutative geometry**

Colloquium, Seoul National University (Korea), April 2012. - 257.
**Conformal field theory and subfactors**

Seminar, Seoul National University (Korea), April 2012. - 258.
**Superconformal field theory and operator algebras**

*Noncommutative Geometry, Cardiff (U.K.), April 2012. - 259.
**Superconformal field theory and noncommutative geometry**

*The Tenth Spring Institute on Noncommutative Geometry and Operator Algebras, Nashville (U.S.A.), May 2012. - 260.
**Diagrammatical methods in theory of subfactors**

the University of Tokyo (Japan), Operator algebra seminar, June 2012. - 261.
**Mathematics of conformal field theory**

Workshop "Mathematical Methods in Materials Sciences and Mathematical Physics", Riken (Japan), June 2012. - 262.
**Superconformal field theory and noncommutative geometry**

*The 24th International Conference on Operator Theory, Timisoara (Romania), July 2012. - 263.
**Superconformal field theory and operator algebras (3 lectures)**

*XXth Oporto Meeting on Geometry, Topology and Physics, Oporto (Portugal), July 2012. - 264.
**Operator algebras and vertex operator algebras**

*Conference on Groups, VOAs and Related Structures in Honor of Masahiko Miyamoto, Tsukuba (Japan), September 2012. - 265.
**Framed local conformal nets**

Essays in Low Dimensional Quantum Field Theory, Rome (Italy), October 2012. - 266.
**Operator algebras and mathematical physics**

East Asian Core-to-Core Meeting, Kyoto (Japan), January 2013. - 267.
**Normal states on factors and finite dimensional subalgebras**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2013. - 268.
**Normal states on factors and finite dimensional subalgebras**

Operator Algebra Seminar, Institut de Mathématiques de Jussieu (France), April 2013. - 269.
**Superconformal field theory, boundary conformal field theory and noncommutative geometry**

*China-Japan Conference on Noncommutative Geometry and K-Theory, Changchun (China), June 2013. - 270.
**Trivial representation theory in conformal field theory and operator algebras**

*Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society, Alba Iulia (Romania), June 2013. - 271.
**Conformal field theory, operator algebras and tensor categories**

*Mathematics and Quantum Physics, Rome (Italy), July 2013. - 272.
**Local conformal nets with trivial representation theory**

*Subfactors in Maui, Hawaii (U.S.A.), July 2013. - 273.
**Operator algebras and conformal field theory**

*Mathematical Statisitical Physics, YITP, Kyoto (Japan), July 2013. - 274.
**Boundary conformal field theory, operator algebras and vertex operator algebras**

*Majorana Theory, the Monster and Beyond, Imperial College London (U.K.), September 2013. - 275.
**Conformal field theory and operator algebras**

Summer School Mathematical Physics 2013: Mathematics of Quantum Fields, the University of Tokyo (Japan), September 2013. - 276.
**Conformal field theory and operator algebras**

*JSPS-DST Asian Academic Seminar 2013 "Discrete Mathematics & its Applications", Tokyo (Japan), November 2013. - 277.
**Jones theory of subfactors and modular tensor categories**

Seminar, Universität Göttingen (Germany), November 2013. - 278.
**Superconformal field theory and noncommutative geometry**

Kolloquium über Reine Mathematik, Universität Hamburg (Germany), December 2013. - 279.
**Conformal field theory and operator algebras II: Local conformal nets and vertex operator algebras**

Seminar, Universität Göttingen (Germany), December 2013. - 280.
**Conformal field theory and operator algebras III: Relations to the Connes noncommutative geometry**

Colloquium, Universität Göttingen (Germany), December 2013. - 281.
**Boundary conformal field theory and subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), April 2014. - 282.
**Full conformal field theories, tensor categories and subfactors**

*Subfactors and Fusion Categories , Banff International Research Station (Canada), April 2014. - 283.
**Boundary conformal field theory, subfactors and tensor categories**

*NCGOA Spring Institute 2014: Subfactors, CFT, and VOA, Nashville (U.S.A.), May 2014. - 284.
**Full and boundary conformal field theory from operator algebras**

*Operator Algebras and Mathematical Physics, Dalian (China), June 2014. - 285.
**Boundary conformal field theory and subfactors**

*The 25th International Conference on Operator Theory, Timisoara (Romania), July 2014. - 286.
**Subfactors, tensor categories and boundary conformal field theory**

*16th Workshop: Non-commutative harmonic analysis: Random matrices, representation theory and free probability, with applications, Będlewo (Poland), July 2014. - 287.
**Subfactos and phase boundaries in conformal field theory**

*Subfactor Theory in Mathematics and Physics, Hawaii (U.S.A.), July 2014. - 288.
**Conformal field theory and opearator algebras**

Colloquium, Kyushu University (Japan), July 2014. - 289.
**Boundary conformal field theory and subfactors**

*ICM Satellite Conference on Operator Algebras and Applications, Cheongpung (Korea), August 2014. - 290.
**Full and boundary conformal field theories and subfactors**

*Operator and Geometric Analysis on Quantum Theory, Levico Terme (Italy), September 2014. - 291.
**Anyon condensation and subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), September 2014. - 292.
**Boundary conformal field theory and operator algebras**

*RIKKYO MathPhys 2015 --- Gauge Theory, CFT and Integrability ---, Rikkyo University (Japan), January 2015. - 293.
**Boundary conformal field theory and subfactors**

*4th Conference of Settat on Operator Algebras and Applications, Marrakech (Morocco), January 2015. - 294.
**From vertex operator algebras to operator algebras**

Probabilistic Operator Algebra Seminar, UC Berkeley (U.S.A.), February 2015. - 295.
**Phase boundaries in conformal field theory and subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), March 2015. - 296.
**From vertex operator algebras to local conformal nets and back**

Seminare über Quantenfeldtheorie, Universität Göttingen (Germany), March 2015. - 297.
**From vertex operator algebras to local conformal nets and back**

*International Conference on Subfactor Theory in Mathematics and Physics, Qinhuangdao (China), July 2015. - 298.
**Vertex operator algebras, Moonshine and operator algebras**

Colloquium, Chinese Academy of Sciences, (China), July 2015. - 299.
**From vertex operator algebras to operator algebras and back**

*Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Tsuda College (Japan), August 2015. - 300.
**From vertex operator algebras to operator algebras and back**

*Lie Algebras, Vertex Operator Algebras, and Related Topics, University of Notre Dame (U.S.A.), August 2015. - 301.
**A remark on gapped domain walls between topological phases**

Seminar, Università di Roma "Tor Vergata" (Italy), September 2015. - 302.
**From vertex operator algebras to operator algebras and back**

Annual Meeting on Operator Theory/Operator Algebras, Myoko Kogen (Japan), October 2015. - 303.
**Moonshine, conformal field theory and operator algebras**

Colloquium, the University of Iowa (U.S.A.), November 2015. - 304.
**Gapped domain walls and subfactors**

Operator Theory Seminar, the University of Iowa (U.S.A.), November 2015. - 305.
**From vertex operator algebras to operator algebras and back**

Functional Analysis Seminar, UCLA (U.S.A.), November 2015. - 306.
**Moonshine, conformal field theory and operator algebras**

TQFT seminar, Instituto Superior Técnico, Universidade de Lisboa (Portugal), February 2016. - 307.
**From vertex operator algebras to local conformal nets and back**

Station Q seminar, Microsoft Research Station Q (U.S.A.), March 2016. - 308.
**Subfactors and gapped domain walls between topological phases**

*Noncommutative Geometry and Operator Algebras Spring Institute 2016, Universität Bonn (Germany), May 2016. - 309.
**A relative tensor product of subfactors over a modular tensor category**

*Operator Algebras and Quantum Field Theory, Istituto Nazionale di Fisica Nucleare, Frascati (Italy), June 2016. - 310.
**Relative tensor products of heterotic full conformal field theories**

*Recent Mathematical Developments in Quantum Field Theory, Oberwolfach (Germany), July 2016. - 311.
**Subfactors, conformal field theory and modular tensor categories**

*Modular Categories--Their Representations, Classification, and Applications, Casa Matemática Oaxaca (Mexico), August 2016. - 312.
**Conformal field theory and operator algebras**

Statistics, Quantum Information and Gravity, IPMU (Japan), September 2016. - 313.
**Gapped domain walls between topological phases and subfactors**

Mathematical Physics Seminar, Harvard University (U.S.A.), October 2016. - 314.
**Topological phases and subfactors**

*Subfactors and Mathematical Physics, Tsinghua Sanya International Mathematics Forum (China), December 2016. - 315.
**Subfactors, tensor categories and conformal field theory**(4 lectures)

*Primer on subfactors and applications, Isaac Newton Institute for Mathematical Sciences (U.K.), January 2017. - 316.
**Relative tensor products of full conformal field theories**

Seminar, Cardiff University (U.K.), January 2017. - 317.
**A relative tensor product of rational full conformal field theories**

Seminar, Isaac Newton Institute for Mathematical Sciences (U.K.), March 2017. - 318.
**The relative Drinfeld commutant and alpha-induction**

Seminar, RIMS, Kyoto University (Japan), April 2017. - 319.
**Lectures on von Neumann algebras**

Lecture series (four talks), Center de Recerca Mathemàtica (Spain), May 2017. - 320.
**Moonshine and operator algebras**

Seminar, Center de Recerca Mathemàtica (Spain), May 2017. - 321.
**Vertex operator algebras and operator algebras**

Algebra seminar, Ehime University (Japan), May 2017. - 322.
**The relative Drinfeld commutant and alpha-induction**

*Subfactors, K-theory and conformal field theory, Isaac Newton Institute for Mathematical Sciences (U.K.), June 2017. - 323.
**The relative Drinfeld commutant of a fusion category and alpha-induction**

Recent Developments in Operator Algebras, RIMS, Kyoto University (Japan), September 2017. - 324.
**Conformal field theory, operator algebras and vertex operator algebras**

*Advances in Mathematics and Theoretical Physics, Rome (Italy), September 2017. - 325.
**From vertex operator algebras to operator algebras and back**

Seminar, Harvard University (U.S.A.), October 2017. - 326.
**From vertex operator algebras to conformal nets and back**

Seminar, MIT (U.S.A.), October 2017. - 327.
**Conformal field theory and operator algebras**

*Reflection Positivity, Oberwolfach (Germany), November 2017. - 328.
**Representation theories of vertex operator algebras and operator algebras**

Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras, RIMS, Kyoto University (Japan), December 2017. - 329.
**Moonshine, conformal field theory and operator algebras**

*East Asian Core Doctoral Forum on Mathematics 2018, Tsinghua University (China), January 2018. - 330.
**Topological phases of matter, modular tensor categories and gapped domain walls (three talks)**

Mathematical Study of Topological Phases, RIMS, Kyoto University (Japan), January 2018. - 331.
**Moonshine, conformal field theory and operator algebras**

Colloquium, National University of Singapore (Singapore), February 2018. - 332.
**The relative Drinfeld commutant of a fusion category and alpha-induction**

Probabilistic Operator Algebra Seminar, UC Berkeley (U.S.A.), March 2018. - 333.
**Operator Algebras and Conformal Field Theory**

Colloquium, Kyoto University (Japan), April 2018. - 334.
**Operator algebras and vertex operator algebras in conformal field theory**

*10th CFT Seminar: A Conference on Vertex Algebras and Related Topics, RIMS, Kyoto University (Japan), April 2018. - 335.
**Conformal field theory, vertex operator algebras and operator algebras**

*Operator Algebras at UCLA: A celebration of Masamichi Takesaki, UCLA (U.S.A.), April 2018. - 336.
**Conformal field theory and operator algebras**

*Noncommutative Geometry and Representation Theory, Sichuan University (China), May 2018. - 337.
**The relative Drinfeld commutant of a fusion category, orbifold subfactors and alpha-induction**

*AQFT: Where Operator Algebra Meets Microlocal Analysis, Cortona (Italy), June 2018. - 338.
**Algebraic quantum field theory and subfactors**

*The 14th Korean Operator Algebras Seminar, Busan (Korea), June 2018. - 339.
**Conformal field theory, operator algebras and vertex operator algebras**

*XXXVII Workshop on Geometric Methods in Physics, Białowieża (Poland), July 2018. - 340.
**Conformal field theory, vertex operator algebras and operator algebras**

Seminar of Discrete Harmonic Analysis, University of Wrocław (Poland), July 2018. - 341.
**The relative Drinfeld commutant of a fusion category, orbifold subfactrors and alpha-induction**

*18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications, Będlewo (Poland), July 2018. - 342.
**Conformal field theory, vertex operator algebras and operator algebras**

*International Congress of Mathematicians 2018, Rio de Janeiro (Brazil), August 2018. (video) (slides) - 343.
**Topological phases of matter, modular tensor categories and operator algebras**

*Quantum Computing Materials Challenges, IPAM (U.S.A.), August 2018. - 344.
**Relative boundary-bulk duality and orbifold subfactors**

Seminar, Università di Roma "Tor Vergata" (Italy), September 2018. - 345.
**Operator algebras and vertex operator algebras in conformal field theory**

Seminar, University of Southern Denmark (Denmark), September 2018. - 346.
**Topological phases of matter and subfactors**

Seminar, University of Copenhagen (Denmark), September 2018. - 347.
**The relative Drinfeld commutants and the relative Verlinde formula**

*Fusion Categories and Subfactors, Banff International Research Station (Canada), October 2018. - 348.
**The relative Drinfeld commutants and the relative Verlinde formula**

Subfactor Seminar, Vanderbilt University (U.S.A.), November 2018. - 349.
**Operator algebras, tensor categories and topological phases I, II**

Theoretical studies of topological phases of matter, Yukawa Institute, Kyoto University (Japan), December 2018. - 350.
**Topological phases of matter and subfactors**

*AMS Special Session on Quantum Symmetries: Subfactors and Fusion Categories, Joint Mathematics Meeting 2019, Baltimore (U.S.A.), January 2019. - 351.
**Topological phases of matter, subfactors and the relative Verlinde formula**

*Subfactors in Sydney: Operator algebras, representation theory, quantum field theory, Sydney (Australia), February 2019. - 352.
**Operator algebras and vertex operator algebras in conformal field theory**

*Higher structures in algebra, geometry, topology and quantum field theory, Preparatory workshop for a planned IRTG Hamburg-Tokyo, Hamburg (Germany), February 2019. - 353.
**Operator algebras and vertex operator algebras in conformal field theory**

*Silver Workshop: Complex Geometry and Non-Commutative Geometry, Okinawa (Japan), February-March 2019. - 354.
**Topological phases of matter and operator algebras**

Quantum Mathematics, Okinawa (Japan), March 2019. - 355.
**Topological phases of matter and operator algebras**

Colloquium, Kyushu University (Japan), April 2019. - 356.
**Conformal field theory and operator algebras**

Mini-course (three talks), Universidad Nacional Autónoma de México (Mexico), May 2019. - 357.
**Moonshine and operator algebras**

Mathematical Physics Seminar, Universidad Nacional Autónoma de México (Mexico), May 2019. - 358.
**Anyons, matrix product operator algebras and subfactors**

*Interactions between Noncommutative Analysis and Quantum Information Theory, Harbin (China), June 2019. - 359.
**Anyons, matrix product operator algebras and subfactors**

*The Mathematical Foundations of Conformal Field Theory and Related Topics, Chern Institute of Mathematics (China), June 2019. - 360.
**Anyons, matrix product operator algebras and subfactors**

*Operator Algebras and Applications, Simons Center for Geometry and Physics (U.S.A.), June 2019. - 361.
**Matrix product operator algebras, anyons and subfactors**

*In and around Topological Physics, Beijing (China), July 2019. - 362.
**Matrix product operator algebras, anyons and subfactors**

*C*-algebras, Oberwolfach (Germany), August 2019. - 363.
**Conformal field theory and operator algebras**

Lecture series (four talks), National Institute of Science Education and Research (India), September 2019. - 364.
**Topological phases of matter and operator algebras**

Colloquium, Riken (Japan), October 2019. - 365.
**Matrix product operator algebras, anyons and subfactors**

Functional Analysis Seminar, UCLA (U.S.A.), October 2019. - 366.
**Matrix product operator algebras, anyons and subfactors**

Operator algebra seminar, Fields Institute (Canada), November 2019. - 367.
**Mathematics of Topological Quantum Computing and Operator Algebras**

*Indo-Japan Joint Workshop on Quantum Computing and Quantum Information, Indian Statistical Institute, Kolkata (India), January 2020. - 368.
**Conformal field theory and operator algebras**

Seminar, Indian Statistical Institute, Kolkata (India), January 2020. - 369.
**Topological phases of matter, tensor categories and operator algebras**

*Noncommutative Geometry and its Applications, National Institute of Science, Education and Research (India), January 2020. - 370.
**Topological phases of matter and operator algebras**

Five lectures, Università di Roma "Tor Vergata" (Italy), February 2020. - 371.
**Topological order, tensor networks and subfactors**

*Topological Orders and Higher Structures, Erwin Schrödinger Institute, Vienna (Austria) [Online], August 2020. - 372.
**Topological order, tensor networks and subfactors**

Mathematical Picture Language Project Seminar, Harvard University (U.S.A.) [Online], December 2020. - 373.
**Topological order, operator algebras and topological quantum field theory**

Category seminar, Universidad Nacional Autónoma de México (Mexico) [Online], December 2020. - 374.
**Topological order, tensor networks and operator algebras**

*Quantum Math, Singularities and Applications, Okinawa Institute of Science and Technology (Japan) [Online], February 2021. - 375.
**Connections, subfactors and tensor networks**

*Fusion categories and tensor networks, American Institute of Mathematics (U.S.A.) [Online], March 2021.