Toshiyuki KOBAYASHI
Lie theory, particularly, non-commutative harmonic analysis, unitary representation theory, integral geometry, and discontinuous groups.
Categorized list of publications
For students who wish to join our lab (pdf)
Forthcoming Publication lists Lecture lists Course lectures CV (pdf)
1 April 2019: Dr. Koichi Tojo has been hired as a technical staff member at Mathematical Science Team, Generic Technology Research Group, Center for Advanced Intelligence Project (AIP), RIKEN.
8 February 2019: Dr. Masatoshi Kitagawa (assistant professor at the Department of Mathematics, Nara Women's University) has been appointed as a lecturer at the Faculty of Education and Integrated Arts and Sciences, Waseda University, commencing on 1st April 2019.
11 January 2019: The 23rd Takagi Lectures are to be held at RIMS, Kyoto University on 8 June 2019.
9 January 2019: Dr Jan Frahm (Erlangen University) will move to Aarhus University in August 2019.
December 2018: Dr. Toshihisa Kubo is to be promoted to associated professor at Ryukoku University on 1st April.
12 October 2018: Mr. Takashi Satomi (M2) has been appointed as a JSPS Research Fellow (DC1) of the academic year 2019.
1 September 2018: Dr. Michael Pevzner has been selected as Professor Exceptionale.
August 2018: Dr. Fanny Kassel has been selected as an invited speaker at the ICM 2018 in Rio de Janeiro.
June 2018: Dr. Masaaki Doi has been appointed as an associate professor at the Department of Biostatistics, Kyoto University School of Public Health.
22 March 2018: Mr. Kazuki Kannaka (M2) has been awarded the Graduate School of Mathematical Sciences Director's Prize of the academic year 2017.
28 December 2017: Mr. Kazuki Kannaka (M2) has been appointed as a JSPS Research Fellow (DC1) of the academic year 2018.
22 November 2017 Professor Noriyuki Abe (Hokkaido Univ.) will join us at the Graduate School of Mathematics, the University of Tokyo, as Associate Professor, commencing on 1st April.
14 September 2017: Dr. Takayuki Okuda (PD) has been promoted to lecturer at the Department of Mathematics, the Graduate School of Science, Hiroshima University.
2 September 2017: Dr. Ryosuke Nakahama has been appointed as a Project Postdoctoral Fellow at the Graduate School of Mathematical Sciences, the University of Tokyo, commencing 1 October 2017.
31 August 2017: Dr. Takayuki Okuda is to be awarded MSJ Takebe Katahiro Prise for his research on "Discontinuous groups and combinatorics of homogeneous spaces".
24 February 2017: Dr. Yoshiki Oshima (IPMU Fellow) has been appointed as an associate professor at the Graduate School of Information Science and Technology, Osaka University, commencing 1st April 2017.
24 February 2017: Mr. Yosuke Morita (D3) has been appointed as an assistant professor at the Department of Mathematics, Graduate School of Science, Kyoto University, commencing 1st April 2017.
14 October 2016: Mr. Hiroyoshi Tamori (M2) has been appointed as a JSPS Research Fellow (DC1) of the academic year 2017.
24 March 2016: Dr. Salma Nasrin has been appointed as a Professor of Mathematics at the University of Dhaka, commencing 21 March 2016.
7 March 2016: Dr. Yuichiro Tanaka (JSPS Research Fellow PD, Kyushu Univ.) has been appointed as an assistant professor at the University University of Tokyo, commencing 1 April, 2016.
20 February 2015: Dr. Fanny Kassel has been awarded the CNRS Bronze Medal 2015.
24 September 2014: Dr. Yukio Koriyama has been promoted to associate professor at l'École Polytechnique.
16 February 2013: I am staying at Tata Institute of Fundamental Research, Mumbai to give Panorama Lectures as a Mathematics Year Event celebrating the 125th birthday of Ramanujan.
18 March 2011: Professor Yves Benoist is to be awarded Clay Research Award.
31 December 2010: Dr. Atsumu Sasaki has been appointed as a tenured lecturer at Tokai University, commencing 1 April.
31 December 2010: Dr. Taro Yoshino has been appointed as an associate professor at the University of Tokyo, commencing 1 April.
Invited lectures
27-29 March 2019: Homomorphisms between Verma Modules and Symmetry Breaking Operators. Representation Theory of Reductive Lie Groups and Algebras, Graduate School of Mathematical Sciences, the University of Tokyo. [ full info ]
17 April 2019: Global Analysis of Locally Symmetric Spaces with Indefinite-metric, Colloquium, Yale University, USA. [ full info ]
23 April 2019: Branching Problems and Symmetry Breaking Operators, Geometry, Symmetry and Physics, Yale University, USA. [ full info ]
3 May 2019: Global Analysis of Locally Symmetric Spaces with Indefinite-metric, Colloquium, Oklahoma State University, USA. [ full info ]
27-31 May 2019: Regular representations on homogeneous spaces. Dynamics of Group Actions: a conference in honor of Yves Benoist, Cetraro, Italy. [ full info ]
3 June 2019: Global Analysis of Locally Symmetric Spaces with Indefinite-metric, Seminar, University of Padova, Italy. [ full info ]
17-23 June 2019: Regular representations on homogeneous spaces. 13-th edition of the International Workshop: Lie Theory and Its Applications in Physics (LT-13), Varna, Bulgaria. [ full info ]
24-29 June 2019: Symmetry breaking operators: general theory and concrete construction for reductive groups (2 lectures). Representation Theory of Lie Groups, Mathematical Physics, and Dynamical Systems, Université de Reims, France. [ full info ]
9-12 July 2019: Regular Representations on Homogeneous Spaces. RIMS Workshop: Developments in Representation Theory and Related Topics, RIMS, Kyoto University. [ full info ]
7-18 December 2020: TBA. Representations and characters: revisiting some aspects of the works of Harish-Chandra and Weil, the Institute for Mathematical Sciences, National University of Singapore, Singapore.
Conferences organized
8 June 2019: The 23rd Takagi Lectures, RIMS, Kyoto University.
18-23 Oct 2020: Periods and Branching Problems for Representations of Real, p-adic and Adeline Groups, Institute for Advanced Study (IAS), Hangzhou, China.
International conferences (co)organized by T. Kobayashi
2019 spring: Representations of Lie groups, Yale University. [ full info ]
3 July 2019: Noncommutative Harmonic Analysis and Representation Theory (Mathematics XB). Graduate course at the University of Tokyo.
29 July-2 August 2019: Introduction to representation theory of real reductive Lie groups and branching problems, The 2nd International Undergraduate Mathematics Summer School, The University of Tokyo. [ full info ]
2019 winter,Thusdays, 8:30-10:15: Intro to Mathematical Sciences I (for non-science students), Undergraduate course at the University of Tokyo
2019 winter,Wednesdays, 13:00-14:45: Geometry XE / Frontiers of Mathematical Sciences and Physics
Course lecture list
Intensive lectures at the University of Tokyo
Professor Takaaki Nomura (Kyushu University, Osaka City University), 17-21 June 2019. [ full info ]
Lie Groups and Representation Theory Seminar
Postdocs, students & visitors
Postdocs, former students & present students & visitors
GCOE
Global COE Program, The University of Tokyo (1 August 2008-31 March 2013) [ pamphlet ]
Kavli IPMU
Kavli Institute for the Physics and Mathematics of the Universe, Todai Institute for Advance Study (principal investigator, June 2011- ; joint appointment, August 2009- ) [ profile (pdf) ]
Editor in Chief, 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, Journal of Lie Theory, (2012- )
Editor, Representation Theory (American Mathematical Society), (2015-2019)
Editor, Translations of Mathematical Monographs, Amer. Math. Soc. (Feb 2016-Jan 2020)
Editor, The Tunisian Journal of Mathematics (TJM) (MSP) (2017- )
Editor, Special Issue of Masaki Kashiwara, Publ. RIMS (2017- )
Editor of Kodaira Centennial Issue (2015)
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)
Member, Science Council of Japan (2006-2008)
Board of Trustees, Mathematical Society of Japan (2003-2005; 2005-2007)
Organizer, Takagi Lectures (2006- )
Awards and academic honours
AMS Fellow (2017)
JMSJ Outstanding Paper Prize (2015)
Medal with Purple Ribbon (2014)
Group Actions (2013)
Inoue Prize for Science (2010)
Humboldt Research Award (2008)
Sackler Distinguished Lecturer (2007)
JSPS Prize (2007)
Osaka Science Prize (2006)
ICM 2002 (invited address)
Spring Prize (1999)
Takebe Prize (1997)
Graduate School of Mathematical Sciences, The University of Tokyo
3-8-1 Komaba, Meguro, Tokyo, 153-8914 Japan
[ Access ]
toshi (at) ms.u-tokyo.ac.jp
+81-3-5465-7011 (secretary)
Papers (selected)
(with F. Kassel) Poincaré series for non-Riemannian locally symmetric spaces, Advances in Mathematics 287 (2016), 123-236, Published online: 20-NOV-2015. DOI: 10.1016/j.aim.2015.08.029. arXiv: 1209.4075. [ full info ]
A program for branching problems in the representation theory of real reductive groups, Representations of Lie Groups: In Honor of David A. Vogan, Jr. on his 60th Birthday (M. Nevins and P. Trapa, eds.), Progress in Mathematics, vol. 312, Birkhäuser, 2015, pp. 277-322, DOI: 10.1007/978-3-319-23443-4_10. arXiv: 1509.08861. ISBN: 978331923442. [ full info ]
(with T. Oshima) Finite multiplicity theorems for induction and restriction, Advances in Mathematics, 248 (2013), 921-944. [ full info ]
(with G. Mano) The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p,q), Mem. Amer. Math. Soc. 212, no. 1000, vi+132 pp., (published online first, on 4 February 2011). [ 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 and B. Speh. Symmetry Breaking for Representations of Rank One Orthogonal Groups II, Lecture Notes in Mathematics vol. 2234. Springer, 2018. xv+342 pp. [ full info ]
T. Kobayashi, T. Kubo, and M. Pevzner. Conformal Symmetry Breaking Operators for Differential Forms on Spheres, Lecture Notes in Mathematics vol. 2170, Springer Singapore, 2016. ix+192 pp. [ full info ]
T. Kobayashi and B. Speh, Symmetry breaking for representations of rank one orthogonal groups, vol. 238, Memoirs of American Mathematical Society, no. 1126, 2015, Published electronically May 12, 2015. 118 pp. [ full info ]
T. Kobayashi and G. Mano, The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p,q), Mem. Amer. Math. Soc. 212, no. 1000, 2011, vi+132 pp. [ full info ]
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
Chronological order (click here) (noframe page)
Reverse chronological order (click here) (noframe page)
Categorized list (click here) (noframe page)
Preprint list (click here)
Invited lectures (selected)
Conference in honor of Bertram Kostant, MIT, USA (2018)
Conference in honor of Kirillov's 81th birthday, Reims, France (2017)
The Kemeny lectures, Dartmouth College, USA (2017)
70th anniversary lecture (featured invited talk), MSJ Autumn Meeting, Japan (2016)
Conference in honor of Paul F. Baum's 80th birthday, Toronto, Canada (2016)
Conference in honor of R. Howe's 70th birthday, Yale, USA (2015)
Conference in honor of D. Vogan's 60th birthday, MIT, USA (2014)
Panorama Lectures in celebration of 125th birthday of Srinivasa Ramanujan, India (2013)
Colloquium Lorrain, France (2012)
Conference in honor of M. Eastwood's 60th birthday, Vienna, Austria (2012)
Conference in memory of Souriau, Aix-en-Provence, France (2012)
Conference in honor of I. Frenkel's 60th birthday, Yale, USA (2012)
Conference in honor of J. Wolf's 75th birthday, Bochum, Germany (2012)
Conference in honor of Helgason's 85th birthday, Boston, USA (2012)
Conference in honor of M. Ragnathan's 70th birthday, Tata, India (2011)
Chern Centennial Conference, USA (2011)
Colloquium, Chicago University, USA (2011)
Oka Symposium, Japan (2010)
Geometry and Quantum Theory, the Netherlands (2010)
Conference in honor of J. Vargas' 60th birthday, Argentina (2009)
Conference in honor of G. Zuckerman's 60th birthday, USA (2009)
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)
Annual Meeting of Swedish Mathematical Society, Lund, Sweden (1995)
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
Colloquium lecture list (click here)
Course lecture list (click here)
© Toshiyuki Kobayashi