JSPS-RFBR Workshop

COE Workshop on the Development of
Dynamic Mathematics with High Functionality

Harmonic Analysis on Homogeneous Spaces

February 18 - 22, 2008


Nishijin Plaza Kyushu University


February 18 (Mon)

13:30 -14:30  Takaaki Nomura (Kyushu University)
 Berezin transforms on homogeneous Siegel domains
14:45 - 15:45  Chifune Kai (Kanazawa University)
 A distinguished bounded realization and a symmetry characterization of homogeneous bounded domains
16:00 - 17:00  Hideyuki Ishi (Nagoya University)
 Unitarizability of holomorphically induced representations of a solvable Lie group

February 19 (Tue)

9:30 - 10:30  Toshihiko Matsuki (Kyoto University)
 Duality of orbits on flag manifolds and Stein extensions of Riemannian symmetric spaces
10:45 - 11:45  Toshio Oshima (University of Tokyo)
 Connection problems for Fuchsian differential equations without moduli

13:30 - 14:30  Yurii Neretin (Institute for Theoretical and Experimental Physics, Moscow)
 Berezin kernels
14:45 - 15:45  Hiroaki Shimomura (Kochi University)
 Irreducible decompositions of unitary representations and extreme decompositions of positive-definite
 functions on groups
16:00 - 17:00  Sho Matsumoto (Kyushu University)
 Characteristic polynomial averages on compact symmetric spaces and Jack polynomials

February 20 (Wed)

9:30 - 10:30  Yoshinori Yamasaki (Kyushu University)
 Evaluations of higher depth determinants of Laplacians
10:45 - 11:45  Kazufumi Kimoto (University of the Ryukus)
 Representation theory of the α-determinant and zonal spherical functions

13:30 -     Free Discussions

February 21 (Thu)

9:30 - 10:30  Svetlana Tsykina (Tambov University)
 Polynomial quantization on para-hermitian symmetric spaces with pseudo-orthogonal group of translations
10:45 - 11:45  Anatoliy Artemov (Tambov University)
 Canonical representations of a pseudo-orthogonal group on a sphere

13:30 - 14:30  Minoru Itoh (Kagoshima University)
 Extensions of the tensor algebra and their applications
14:45 - 15:45  Mikhail Zelikin (Moscow University)
 Geometry of the cross-ratio on Sato's Grassmanian
16:00 - 17:00  Vladimir Molchanov (Tambov University)
 Representations of an overalgebra related to canonical representations

February 22 (Fri)

9:30 - 10:30  Atsumu Sasaki (Waseda University)
 Visible actions on multiplicity-free spaces
10:45 - 11:45  Nobukazu Shimeno (Okayama University of Science)
 Whittaker functions on semisimple Lie groups

13:30 - 14:30  Hiroshi Oda (Takushoku University)
 A complex analogue of the Oshima compactification
14:45 - 15:45  Soji Kaneyuki (Sophia University)
 Causality, G-structures, and symmetric spaces
16:00 - 17:00  Didier Arnal (Université de Bourgogne)
 Canonical coordinates for coadjoint orbits of exponential Lie groups

Conference Photo

Organizers:  V. Molchanov (Tambov University, Russia),   T. Nomura (Kyushu University, Japan)

Support:  This workshop is supported by
   --- The 21st Century COE Program: Development of Dynamic Mathematics with High Functionality,
        Faculty of Mathematics, Kyushu University,
   --- Japan Society for the Promotion of Science (JSPS),
   --- Russian Foundation for Basic Research (RFBR),
   --- Support Program for Improving Graduate School Education,
        Faculty of Mathematics, Kyushu University,
   --- Grants-in-Aid for Scientific Research (17654032).
The organizers are grateful to the speakers participating in this workshop by using their own grants.