What's new
- 2 November 2009:
Mr. Yoshiki Oshima (M2) and Mr. Takayuki Okuda (M2) have been appointed as JSPS Research Fellows (DC1) of the academic year 2010.
- 20 June 2009:
The Seventh Takagi Lecutres are to be held on 21-23 November at the University of Tokyo.
- 3 March 2009:
Dr. Atsumu Sasaki has been appointed as an assistant professor at Waseda University, commencing 1 April.
- 20 February 2009:
Dr. Noriyuki Abe has been appointed as an assistant professor at the Graduate School of Mathematical Sciences/Institute for the Physics and Mathematics of the Universe, The University of Tokyo, commencing 1 April.
- 17 September 2008:
Dr. Yukio Koriyama has assumed his duties as assistant professor at l'École Polytechnique.
- 8 April 2008:
Mr. Katsuki Teduka, Mr. Atsumu Sasaki and Mr. Masayasu Moriwaki defended their Ph.D. theses (March 2008).
- 1 October 2007:
Dr. Taro Yoshino has been appointed as an assistant professor (tenure) at Tokyo Institute of Techonology.
- Log
Forthcoming events
Invited lectures
- 5-11 June 2009:
Discontinuous Groups on pseudo-Riemannian Spaces,
Mathematische Arbeitstagung 2009, MPI Bonn, Germany.
[ full info ]
- 14-17 September 2009:
Breaking Symmetries and Locally Symmetric Spaces, Geometry and Analysis of Automorphic Forms: Conference in honor of Professor Takayuki Oda on the occasion of his 60th birthday, the University of Tokyo, Japan.
- 24-27 October 2009:
Branching Problems for Zuckerman's Derived Functor Modules, Representation Theory and Mathematical Physics
Conference in honor of Gregg Zuckerman's 60th birthday, Yale University, USA
- 23-26 November 2009:
Restriction of Unitary Representations to Reductive Subgroups, Encuentro de Teoría de Lie (in honor of Prof. Jorge Vargas' 60th Birthday),
Facultad de Matemática, Astronomía y Física
Universidad Nacional de Córdoba,
Córdoba, Argentina.
- 27 November-1 December 2009:
Generalized Bernstein-Reznikov Integrals, The Seventh Workshop in Lie Theory and its Applications, La Falda, Argentina.
- 16-23 January 2010:
TBA, The 30th Winter School on Geometry and Physics, Srni, Czech.
- 28 June-2 July 2010:
TBA, Geometry and Quantum Theory Conference, Nijmegen, the Netherlands.
Conferences organized
- 5-10 August 2009:
Workshop on Integral Geometry and Group Representations, Tambara, Japan.
- 14-17 September 2009:
Conference in honor of Takayuki Oda's 60th birthday "Geometry and Analysis of Automorphic Forms of Several Variables ",
Graduate School of Mathematical Sciences, University of Tokyo.
- 5-6 November 2009:
IPMU workshop: Quantizations, integrable systems and representation theory, IPMU, The University of Tokyo, Japan.
- 21-23 November 2009:
The Seventh Takagi Lecutres,
the University of Tokyo, Japan.
- 14-20 November 2010:
Representation Theory and Harmonic Analysis,
Oberwolfach, Germany.
Related conferences
Course lectures
- 26 May 2009:
Lie Groups and Representation Theory, Mathematics XB, the University of Tokyo.
- 2009 winter, Tuesdays, 10:40-12:10:
Introduction to Global Geometry (901-12)/Geometry XE (5083), Undergraduate and graduate course at the University of Tokyo.
6 Oct -
- 2009 winter, Tuesdays, 13:00-14:30:
Mathematics XA, Undergraduate text seminar at the University of Tokyo.
6 Oct -
- 2009 winter, Wednesdays, 9:00-10:30:
Mathematics II (for non-science students), Undergraduate course at the University of Tokyo.
7 Oct -
- 2009 winter, Thursdays, 9:00-10:30, 10:40-12:10:
Mathematics II (for science students), Undergraduate course at the University of Tokyo.
8 Oct -
- 2009 winter, Fridays, 9:00-10:30:
Mathematical Sciences II (for non-science students), Undergraduate course at the University of Tokyo.
9 Oct -
Intensive lectures at the University of Tokyo
Seminar
Postdocs, students & visitors
GCOE
Academic service
- Managing Editor, Japanese
Journal of Mathematics (2005- )
- Editor, Geometriae
Dedicata (2000- )
- Editor, International
Mathematics Research Notices (2002- )
- Editor, International
Journal of Mathematics (2004- )
- Editor, Kyoto Journal of Mathematics (2010- )
- Editor, Journal of Mathematical Sciences, The University of Tokyo (2007- )
- Editor, Advances in Pure and Applied Mathematics (2008- )
- Editor in Chief, Journal
of Mathematical Society of Japan (2002-2004; 2004-2006), Editor (1998-2006)
- Editor, Publications
RIMS (2003-2007)
- Editor, International
Mathematics Research Papers (2005-2008)
Contact
Publications
Papers (selected)
- The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p,q), to appear in Mem. Amer. Math. Soc., 171 pp. arXiv:0712.1769 [math.RT].
[ full info ]
- Visible actions on symmetric spaces, Transformation Groups, 12 (2007), 671-694.
[ full info ]
- (with G. Mano), The inversion formula and holomorphic extension of the minimal representation of the conformal group, in Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honour of Roger E. Howe, Singapore University Press and World Scientific Publishing, 2007, pp. 159-223.
[ full info ]
- (with T. Yoshino), Compact Clifford-Klein forms of symmetric spaces: revisited, Pure
and Appl. Math. Quarterly 1 (2005), 603-684, Special Issue: In Memory
of Professor Armand Borel.
[ full info ]
- Multiplicity-free representations and visible actions on complex
manifolds, Publ. RIMS 41 (2005), 497-549, special issue
commemorating the fortieth anniversary of the founding of RIMS.
[ full info ]
- (with B. Ørsted),
Analysis on minimal representations of O(p,q),
Part I — Realization and conformal geometry,
Adv. Math. 180 (2003), 486-512 [ full info ];
Part II — Branching laws,
Adv. Math. 180 (2003), 513-550 [ full info ];
Part III — Ultra-hyperbolic equations on Rp-1,q-1,
Adv. Math. 180 (2003), 551-595. [ full info ]
- Branching problems of unitary representations, Proc. of ICM,
Beijing 2002, 2 (2002), 615-627.
[ full info ]
- Discrete decomposability of the restriction of Aq(λ)
with respect to reductive subgroups III: restriction of Harish-Chandra
modules and associated varieties, Inventiones Mathematicae 131
(1998), 229-256.
[ full info ]
- Discrete decomposability of the restriction of Aq(λ)
with respect to reductive subgroups II: micro-local analysis and asymptotic
K-support, Annals of Math. 147 (1998), 709-729.
[ full info ]
- Invariant measures on homogeneous manifolds of reductive type, J.
reine und angew. Math. 490 (1997), 37-53.
[ full info ]
- Discrete decomposability of the restriction of Aq(λ)
with respect to reductive subgroups and its applications, Invent. Math.
117 (1994), 181-205.
[ full info ]
- A necessary condition for the existence of compact Clifford-Klein forms
of homogeneous spaces of reductive type, Duke Math. J. 67 (1992),
653-664.
[ full info ]
- Proper action on a homogeneous space of reductive type, Math. Ann.
285 (1989), 249-263.
[ full info ]
Books (selected)
- T. Kobayashi, Multiplicity-free theorems of the restrictions of unitary highest weight modules with respect to reductive symmetric pairs, in Representation Theory and Automorphic Forms (T. Kobayashi, W. Schmid, and J.-H. Yang, eds.), Progress in Mathematics 255, Birkhäuser, 2007.
[ full info ]
- A. Borel, L. Ji, and T. Kobayashi, Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, (J.-P. Anker and B. Ørsted, eds.), Progress in Mathematics 229, Birkhäuser, 2005, 207 pp.
[ full info ]
- T. Kobayashi and T. Oshima, Lie Groups and Representations, Iwanami, 2005, 610 pp (in Japanese).
[ full info ]
- T. Kobayashi, Discontinuous groups for non-Riemannian homogeneous spaces,
in Mathematics Unlimited — 2001 and Beyond (B. Engquist and W. Schmid, eds.),
Springer-Verlag, 2000.
[ full info ]
- T. Kobayashi, Singular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U(p, q; F)/U(p -m, q; F), Memoirs of the Amer. Math. Soc. 462, 1992, 106 pp.
[ full info ]
Complete lists of publications
Other lists
Lectures
Invited lectures (selected)
- Mathematische Arbeitstagung, Germany (2009)
- Conference in honor of B. Ørsted's 60th birthday (opening lecture),
Germany (2009)
- Colloquium, Yale University, USA (2009)
- Conference in honor of T. Oshima's 60th birthday, Japan (2009)
- Conference, Representations of Lie groups and applications, France (2008)
- The Monna Lectures, Netherlands (2008)
- Conference in honor of Jean-Louis Clerc, France (2008)
- Number Theory Seminar, Harvard University, USA (2008)
- Colloquium, Harvard University, USA (2008)
- Conference in honor of S. Helgason's 80th birthday, Iceland (2007)
- Conference in honor of T. Sunada's 60th birthday, Japan (2007)
- Conference at Max-Planck-Institut für Mathematik, Bonn (closing lecture), Germany (2007)
- Seminar Sophus Lie in honor of E. B. Vinberg's 70th birthday (opening lecture), Germany (2007)
- Summer Solstice Days, Institut de Mathématiques de Jussieu, France (2007)
- Sackler Distinguished Lectures in Pure Mathematics, Israel (2007)
- Conference in honor of H. Abels, Germany (2006)
- Conference in honor of R. Howe's 60th birthday (opening lecture), Singapore (2006)
- Conference in honor of R. Parthasarathy's 60th birthday, India (2006)
- Asian Mathematical Congress, Singapore (2005)
- Seminar Sophus Lie in honor of Jacques Faraut, France (2005)
- Pan-African Congress of Mathematicians (plenary address), Tunisia (2004)
- Conference in honor of G. van Dijk's 65th birthday, Netherlands (2004)
- Conference, Lie groups and representation theory (closing lecture), Denmark (2004)
- ICM 2002, Beijing, China (2002)
- Winter School on Geometry and Physics, Czech Republic (2002)
- Conference on Integral Geometry at MSRI, Berkeley, USA (2001)
- Harvard University (series lectures), USA (2001)
- European School on Group Theory (series lectures), Denmark (2000)
- Summer Solstice Days, Université de Paris 6 & 7, France (1999)
- Annual meeting of the Mathematical Society of Japan (Spring Award), Japan (1999)
- Göttingen Colloquium, Germany (1999)
- Seminar Sophus Lie, Germany (1999)
- Round Table in Global Pseudo-Riemannian Geometry, Nancy, France (1998)
- Conference on Analysis on Lie groups and homogeneous spaces, Denmark (1997)
- The Gelfand Seminar, USA (1997)
- Summer Solstice Days, Université de Paris 6 & 7, France (1996)
- Annual Meeting of Swedish Mathematical Society, Lund, Sweden (1995)
- European School on Group Theory (series lectures), Denmark (1994)
- Workshop in honor of S. Helgason's 65th birthday, Denmark (1992)
- Conference ''75 years of Radon transform'', Vienna, Austria (1992)
- Colloquium at Columbia University, USA (1992)
- Conference on Harmonic analysis on Lie groups, Denmark (1991)
Complete lists of invited lectures
Other lists
© Toshiyuki Kobayashi