## Operator Algebra Seminars

Seminar information archive ～09/18｜Next seminar｜Future seminars 09/19～

Date, time & place | Wednesday 16:30 - 18:00 122Room #122 (Graduate School of Math. Sci. Bldg.) |
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**Seminar information archive**

### 2013/03/15

13:15-14:15 Room #118 (Graduate School of Math. Sci. Bldg.)

Two Amir-Cambern type theorems for $C^*$-algebras (ENGLISH)

**Jean Roydor**(Univ. Bordeaux)Two Amir-Cambern type theorems for $C^*$-algebras (ENGLISH)

### 2013/03/11

09:45-12:00 Room #123 (Graduate School of Math. Sci. Bldg.)

Traces and Ultrapowers (ENGLISH)

Constructing subfactors with jellyfish (ENGLISH)

**Tristan Bice**(York Univ.) 09:45-10:45Traces and Ultrapowers (ENGLISH)

**David Penneys**(Univ. Toronto) 11:00-12:00Constructing subfactors with jellyfish (ENGLISH)

### 2013/03/11

13:30-18:15 Room #123 (Graduate School of Math. Sci. Bldg.)

Classification and the Toms-Winter Conjecture (ENGLISH)

Free probability and planar algebras (ENGLISH)

Kirchberg $X$-algebras with real rank zero and intermediate cancellation (ENGLISH)

Classifying $C^*$-algebras up to W-stability (ENGLISH)

**Danny Hey**(Univ. Toronto) 13:30-14:30Classification and the Toms-Winter Conjecture (ENGLISH)

**Stephen Curran**(UCLA) 14:45-15:45Free probability and planar algebras (ENGLISH)

**Rasmus Bentmann**(Univ. Copenhagen) 16:00-17:00Kirchberg $X$-algebras with real rank zero and intermediate cancellation (ENGLISH)

**Luis Santiago-Moreno**(Univ. Oregon) 17:15-18:15Classifying $C^*$-algebras up to W-stability (ENGLISH)

### 2013/02/22

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

II$_1$ factors with a unique Cartan subalgebra (ENGLISH)

**Stefaan Vaes**(KU Leuven)II$_1$ factors with a unique Cartan subalgebra (ENGLISH)

### 2013/02/07

16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)

Combinatorial independence, amenability, and sofic entropy (ENGLISH)

**David Kerr**(東大数理/Texas A&M Univ.)Combinatorial independence, amenability, and sofic entropy (ENGLISH)

### 2013/01/23

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Exotic subfactors and conformal field theories (ENGLISH)

**David Evans**(Cardiff University)Exotic subfactors and conformal field theories (ENGLISH)

### 2012/12/26

15:45-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Trouble in paradise (ENGLISH)

Algebraic K-theory of generalized schemes (ENGLISH)

**Henrik Densing Petersen**(Univ. Copenhagen) 15:45-16:45Trouble in paradise (ENGLISH)

**Stella Anevski**(Univ. Copenhagen) 17:00-18:00Algebraic K-theory of generalized schemes (ENGLISH)

### 2012/12/19

15:45-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

$W^*$-superrigidity for left-right wreath products (ENGLISH)

A classification of approximate subhomogeneous $C^*$-algebras (ENGLISH)

**Mihaita Berbec**(KU Leuven) 15:45-16:45$W^*$-superrigidity for left-right wreath products (ENGLISH)

**Zhuang Niu**(Univ. Wyoming) 17:00-18:00A classification of approximate subhomogeneous $C^*$-algebras (ENGLISH)

### 2012/12/12

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Large subalgebras of crossed product $C^*$-algebras (ENGLISH)

**N. Christopher Phillips**(Univ. Oregon)Large subalgebras of crossed product $C^*$-algebras (ENGLISH)

### 2012/12/05

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Construction of two dimensional QFT through Longo-Witten endomorphisms (JAPANESE)

**Yoh Tanimoto**(Univ. Goettingen)Construction of two dimensional QFT through Longo-Witten endomorphisms (JAPANESE)

### 2012/11/28

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Fundamental group of simple $C^*$-algebras with unique trace (JAPANESE)

**Norio Nawata**(Chiba University)Fundamental group of simple $C^*$-algebras with unique trace (JAPANESE)

### 2012/05/02

16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)

A measurable group theoretic solution to von Neumann's Problem (after Gaboriau and Lyons) (JAPANESE)

**Yuhei Suzuki**(Univ. Tokyo)A measurable group theoretic solution to von Neumann's Problem (after Gaboriau and Lyons) (JAPANESE)

### 2012/04/25

16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)

Bost-Connes system and class field theory (JAPANESE)

**Takuya Takeishi**(Univ. Tokyo)Bost-Connes system and class field theory (JAPANESE)

### 2012/04/18

16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)

Classification of Group Actions on Factors (after Masuda) (JAPANESE)

**Koichi Shimada**(Univ. Tokyo)Classification of Group Actions on Factors (after Masuda) (JAPANESE)

### 2012/04/11

16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)

Mathematical Aspects of Fractional Quantum Hall Effect (ENGLISH)

**Shweta Sharma**(Univ. Paris Sud)Mathematical Aspects of Fractional Quantum Hall Effect (ENGLISH)

### 2012/03/23

16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

Higher Rank Graph $C^*$-algebras (ENGLISH)

**Alex Kumjian**(University of Nevada, Reno)Higher Rank Graph $C^*$-algebras (ENGLISH)

### 2012/02/02

16:30-18:00 Room #002 (Graduate School of Math. Sci. Bldg.)

Weak Exactness for $C^*$-algebras and Application to Condition (AO) (JAPANESE)

**Yusuke Isono**(Univ. Tokyo)Weak Exactness for $C^*$-algebras and Application to Condition (AO) (JAPANESE)

### 2012/01/26

16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

The transverse fundamental class of linear foliations

on torus bundles over the circle (ENGLISH)

**Catherine Oikonomides**(Univ. Tokyo)The transverse fundamental class of linear foliations

on torus bundles over the circle (ENGLISH)

### 2012/01/16

16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

Is an irng singly generated as an ideal? (JAPANESE)

**Narutaka Ozawa**(RIMS, Kyoto University)Is an irng singly generated as an ideal? (JAPANESE)

### 2012/01/06

16:30-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)

Diagrammatical methods in theory of subfactors (ENGLISH)

**Yasuyuki Kawahigashi**(Univ. Tokyo)Diagrammatical methods in theory of subfactors (ENGLISH)

### 2012/01/05

16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

Classification and amenability in theory of von Neumann algebras (ENGLISH)

**Yasuyuki Kawahigashi**(Univ. Tokyo)Classification and amenability in theory of von Neumann algebras (ENGLISH)

### 2011/12/27

14:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

Deformation of algebras associated to group cocycles (JAPANESE)

Construction of wedge-local nets through

Longo-Witten endomorphisms (JAPANESE)

**Makoto Yamashita**(Universita di Roma "Tor Vergata") 14:30-16:00Deformation of algebras associated to group cocycles (JAPANESE)

**Yoh Tanimoto**(Universitaet Goettingen) 16:30-18:00Construction of wedge-local nets through

Longo-Witten endomorphisms (JAPANESE)

### 2011/11/22

16:30-18:00 Room #126 (Graduate School of Math. Sci. Bldg.)

Stability of topological phases of matter (ENGLISH)

**( Institute for Quantum Information and Matter (Caltech))**

Spyridon MichalakisSpyridon Michalakis

Stability of topological phases of matter (ENGLISH)

[ Abstract ]

The first lecture will be an introduction to quantum mechanics and a proof of Lieb-Robinson bounds for constant range interaction Hamiltonians. The second lecture will build on the first to prove a powerful lemma on the transformation of the interactions of generic gapped Hamiltonians to a new set of rapidly-decaying interactions that commute with the groundstate subspace. I call this "The Energy Filtering Lemma". Then, the third lecture will be on the construction of the Spectral Flow unitary (Quasi-adiabatic evolution) and its properties; in particular, the perfect simulation of the evolution of the groundstate subspace within a gapped path. I will end with a presentation of the recent result on the stability of the spectral gap for frustration-free Hamiltonians, highlighting how the previous three lectures fit into the proof.

The first lecture will be an introduction to quantum mechanics and a proof of Lieb-Robinson bounds for constant range interaction Hamiltonians. The second lecture will build on the first to prove a powerful lemma on the transformation of the interactions of generic gapped Hamiltonians to a new set of rapidly-decaying interactions that commute with the groundstate subspace. I call this "The Energy Filtering Lemma". Then, the third lecture will be on the construction of the Spectral Flow unitary (Quasi-adiabatic evolution) and its properties; in particular, the perfect simulation of the evolution of the groundstate subspace within a gapped path. I will end with a presentation of the recent result on the stability of the spectral gap for frustration-free Hamiltonians, highlighting how the previous three lectures fit into the proof.

### 2011/11/17

16:30-18:00 Room #117 (Graduate School of Math. Sci. Bldg.)

Hecke pairs in ergodic measured equivalence relations (JAPANESE)

**Takehiko Yamanouchi**(Tokyo Gakugei University)Hecke pairs in ergodic measured equivalence relations (JAPANESE)

### 2011/10/07

16:30-18:00 Room #122 (Graduate School of Math. Sci. Bldg.)

Towards the classification of non-simple $C^*$-algebras of real rank zero (ENGLISH)

**Takeshi Katsura**(Keio University)Towards the classification of non-simple $C^*$-algebras of real rank zero (ENGLISH)