Toshiyuki KOBAYASHI
Address:
RIMS
, Kyoto University
Sakyo-ku, Kyoto, 606-8502, Japan
Email:
kurims.kyoto-u.ac.jp
Fax:
+81 (0)75 753 7276 (secretary)
Phone:
+81 (0)75 753 7216 (secretary)
Curriculum Vitae (click here)
What's new
1 April 2007:
Toshiyuki Kobayashi has moved from RIMS to the University of Tokyo.
Click here
to go to his new web site.
28 February 2007:
Mr. Gen Mano has been appointed as a postdoctoral fellow of the 21st Century COE Program at the University of Tokyo (2007-2008).
22 February 2007:
Dr. Salma Nasrin has moved to the University of Dhaka.
22 January 2007:
Mr. Gen Mano defended his Ph.D. thesis at RIMS, Kyoto University.
25-26 November 2006:
I organized
the first Takagi Lectures
.
4 November 2006:
Dr. Taro Yoshino has been appointed as a JSPS Postdoctoral fellow (2007-2010).
20 September 2006:
Dr. Taro Yoshino has received Takebe Prize of the Mathematical Society of Japan.
25 March 2006:
The Japanese Journal of Mathematics
has relaunched as the third series.
Research interests
Lie theory, particularly, non-commutative harmonic analysis, unitary representation theory, integral geometry, and discontinuous groups.
Annual report in Japanese (click here)
Categorized list of publications (click here)
Postdocs & students
Postdocs and students (click here)
Academic service
Managing Editor,
Japanese Journal of Mathematics
(2005- )
Editor,
Geometriae Dedicata
(2000- )
Editor,
International Mathematics Research Notices
(2002- )
Editor,
Publications RIMS
(2003- )
Editor,
International Journal of Mathematics
(2004- )
Editor,
International Mathematics Research Papers
(2005- )
Editor in Chief,
Journal of Mathematical Society of Japan
(2002-2004; 2004-2006), Editor (1998-2006)
Board of Trustees,
Mathematical Society of Japan
(2003-2005; 2005- )
Member,
Science Council of Japan
(2006- )
Schedule
Invited lectures
TBA
, Tuesday Seminar on Topology, University of Tokyo, Japan, 17 April 2007.
TBA
, Institut de Mathématiques de Jussieu, Paris, France, 21-23 June 2007.
TBA
, Lie Groups, Algebraic Groups and Transformation Groups: A conference in honor of Ernest B. Vinberg's 70th birthday, Universität Bielefeld, Germany, 20-24 July 2007.
TBA
,
Representation Theory, Complex Analysis and Integral Geometry
(organized by Simon Gindikin and Bernhard Krötz), Max-Planck-Institut für Mathematik, Bonn, Germany, 25-27 July 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, 6-10 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, 15-18 August 2007.
TBA
, Conference in honor of Prof. Jean-Louis Clerc ''Hermitian symmetric Spaces, Jordan Algebras and Related Problems'', Centre International de Recherches Mathématiques, Luminy, France, 23-27 June 2008.
Conferences organized
The Second Takagi Lectures (organized by Yasuyuki Kawahigashi, Toshiyuki Kobayashi, Hiraku Nakajima, Kaoru Ono and Takeshi Saito), University of Tokyo, 26 May 2007.
Harmonische Analysis und Darstellungstheorie Topologischer Gruppen
(organized by Toshiyuki Kobayashi, Bernhard Krötz, Erez Lapid, and Charles Torossian), Oberwolfach, Germany, 14-20 October 2007.
Past conferences (click here)
Seminars organized
Lie Group and Representation Theory Seminar at RIMS [
NEW
] [
2006
|
2005
|
2004
|
2003
]
Participation
Representation Theory, Complex Analysis and Integral Geometry
(organized by Simon Gindikin and Bernhard Krötz), Max-Planck-Institut für Mathematik, Bonn, Germany, June-July 2007. [
poster (jpg)
]
Publications
Papers (selected)
Visible actions on symmetric spaces
, to appear in Transformation Groups.
(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.
(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.
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.
(with B. Ørsted),
Analysis on minimal representations of
O
(
p,q
),
Part I
— Realization and conformal geometry
, Adv. Math.
180
(2003), 486-512;
Part II
— Branching laws
, Adv. Math.
180
(2003), 513-550;
Part III
— Ultra-hyperbolic equations on
R
p
-1,
q
-1
, Adv. Math.
180
(2003), 551-595.
Branching problems of unitary representations
, Proc. of ICM, Beijing 2002,
2
(2002), 615-627.
Discrete decomposability of the restriction of A
q
(ă)
with respect to reductive subgroups III: restriction of Harish-Chandra modules and associated varieties
, Inventiones Mathematicae
131
(1998), 229-256.
Discrete decomposability of the restriction of A
q
(ă)
with respect to reductive subgroups II: micro-local analysis and asymptotic K-support
, Annals of Math.
147
(1998), 709-729.
Invariant measures on homogeneous manifolds of reductive type
, J. reine und angew. Math.
490
(1997), 37-53.
Discrete decomposability of the restriction of A
q
(ă)
with respect to reductive subgroups and its applications
, Invent. Math.
117
(1994), 181-205.
A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type
, Duke Math. J.
67
(1992), 653-664.
Proper action on a homogeneous space of reductive type
, Math. Ann.
285
(1989), 249-263.
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, 207pp.
T. Kobayashi and T. Oshima,
Lie Groups and Representations
, Iwanami, 2005, 610pp (in Japanese).
T. Kobayashi,
Discontinuous groups for non-Riemannian homogeneous spaces
, in Mathematics Unlimited — 2001 and Beyond (B. Engquist and W. Schmid, eds.), Springer-Verlag, 2000.
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, 106pp.
Complete lists of publications
Chronological order (click here)
Reverse chronological order (click here)
Other lists
Categorized list (click here)
Preprint list (click here)
Lectures
Invited lectures (selected)
Conference in honor of Howe,
Singapore (2006)
Conference in honor of Parthasarathy,
India (2006)
Asian Mathematical Congress,
Singapore (2005)
Seminar Sophus Lie in honor of Faraut,
France (2005)
Pan-African Congress of Mathematicians (plenary address),
Tunisia (2004)
Conference in honor of van Dijk,
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 Helgason,
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)
Reverse chronological order (click here)
Other lists
Colloquium lecture list (click here)
Course lecture list (click here)
Awards
JSPS Prize (2007)
Osaka Science Prize (2006)
Spring Prize (1999)
Takebe Prize (1997)
Last modified: 10 April 2007