Toshiyuki KOBAYASHI

What's new

• 24 April 2007: This year marks the 20th anniversary of the Lie Groups and Representation Theory Seminar. I gave the first talk at the seminar in 1987 and today Taro Yoshino gave the first talk for this year's seminar.

• Log

Forthcoming events

Invited lectures

• 7, 9 May 2007: Branching Problems of Unitary Representations, Sackler Distinguished Lectures in Pure Mathematics, Tel Aviv University, Israel. [ full info ]
• 21-23 June 2007: Existence Problem of Compact Locally Symmetric Spaces, Journées Solstice d'été 2007: Théorie de Lie, Géométrie et Représentations, Institut de Mathématiques de Jussieu, Paris, France. [ full info ]
• 25 June 2007: TBA, conference at Poitiers, France.
• 20-24 July 2007: TBA, Lie Groups, Algebraic Groups and Transformation Groups: A conference in honor of Ernest B. Vinberg's 70th birthday, Universität Bielefeld, Germany.
• 25-27 July 2007: TBA, Representation Theory, Complex Analysis and Integral Geometry (organized by Simon Gindikin and Bernhard Krötz), Max-Planck-Institut für Mathematik, Bonn, Germany.
• 6-10 August 2007: On a conjecture of Sunada and theory of discretely decomposable restrictions of unitary representations, International Conference ''Spectral Analysis in Geometry and Number Theory'' on the occasion of Toshikazu Sunada's 60th birthday, Nagoya University, Japan.
• 15-18 August 2007: TBA, International Conference on Integral Geometry, Harmonic Analysis and Representation Theory in honor of Sigurdur Helgason on the occasion of his 80th birthday, Reykjavik, Iceland.
• 23-27 June 2008: TBA, Conference in honor of Prof. Jean-Louis Clerc ''Hermitian symmetric Spaces, Jordan Algebras and Related Problems'', Centre International de Recherches Mathématiques, Luminy, France.

Conferences organized

• 26-27 May 2007: The Second Takagi Lectures (organized by Yasuyuki Kawahigashi, Toshiyuki Kobayashi, Hiraku Nakajima, Kaoru Ono and Takeshi Saito), University of Tokyo.
• 14-20 October 2007: Harmonische Analysis und Darstellungstheorie Topologischer Gruppen (organized by Toshiyuki Kobayashi, Bernhard Krötz, Erez Lapid, and Charles Torossian), Oberwolfach, Germany.

• Past conferences

Participation

• June-July 2007: Representation Theory, Complex Analysis and Integral Geometry (organized by Simon Gindikin and Bernhard Krötz), Max-Planck-Institut für Mathematik, Bonn, Germany. [ poster (jpg) ]

• Lie Groups and Representation Theory Seminar

Postdocs & students

• Postdocs and students

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, International Mathematics Research Papers (2005- )
• Editor, Journal of Mathematical Sciences, The University of Tokyo (2007- )
• Editor in Chief, Journal of Mathematical Society of Japan (2002-2004; 2004-2006), Editor (1998-2006)
• Editor, Publications RIMS (2003-2007)

• Member, Science Council of Japan (2006- )
• Board of Trustees, Mathematical Society of Japan (2003-2005; 2005-2007)

Awards

• JSPS Prize (2007)
• Osaka Science Prize (2006)
• Spring Prize (1999)
• Takebe Prize (1997)

• Address:
  Graduate School of Mathematical Sciences, The University of Tokyo
  3-8-1 Komaba, Meguro, Tokyo, 153-8914 Japan
  [ Access ]
• Email:
  toshi (at) ms.u-tokyo.ac.jp
• Fax:
  +81-3-5465-7011 (secretary)
• Phone:
  +81-3-5465-7001 (secretary)

Publications

Papers (selected)

• Visible actions on symmetric spaces, to appear in Transformation Groups. [ full info ]
• (with G. Mano), The inversion formula and holomorphic extension of the minimal representation of the conformal group, to appear in special volume in honor of Roger Howe. [ 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 R^p-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 A_q(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 A_q(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 A_q(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)

			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

• Chronological order (click here)   (noframe page)
• Reverse chronological order (click here)   (noframe page)

Other lists

• Categorized list (click here)   (noframe page)
• Preprint list (click here)

Lectures

Invited lectures (selected)

• Conference in honor of S. Helgason's 80th birthday, Iceland (2007)
• Conference in honor of T. Sunada's 60th birthday, Japan (2007)
• Conference in honor of E. B. Vinberg's 70th birthday, Germany (2007)
• Summer Solstice Days, Institut de Mathématiques de Jussieu, France (2007)
• Sackler Distinguished Lectures in Pure Mathematics, Israel (2007)
• Conference in honor of R. Howe's 60th birthday, 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, Netherland (2004)
• Conference, Lie groups and representation theory, 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

• Chronological order (click here)   (noframe page)
• Reverse chronological order (click here)   (noframe page)

Other lists

• Colloquium lecture list (click here)
• Course lecture list (click here)