About the Book
Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades.
The first volume of the Festschrift includes a survey article on Kobayashi’s innovative contributions to Mathematics, emphasizing their influence and introducing new perspectives across various fields. Original articles contained in Volume 1 focus on differential geometry with symmetries as well as algebraic and geometric aspects of representation theory of reductive Lie groups and related topics.
Contributions are by Velleda Baldoni, Dan Barbasch, Leticia Barchini, Sigiswald Barbier, Yves Benoist, Sam Claerebout, Michael Eastwood, Wee Teck Gan, William M. Goldman, Roger Howe, Kazuki Kannaka, Toshihisa Kubo, Hung Yean Loke, Jia-Jun Ma, Reiko Miyaoka, Kento Ogawa, Takayuki Okuda, Yoshiki Oshima, Paul-Émile Paradan, Annegret Paul, Michael Pevzner, Yiannis Sakellaridis, Atsumi Sasaki, Gordan Savin, Hideko Sekiguchi, Binyong Sun, Yuichiro Tanaka, Koichi Tojo, Peter Trapa, Michèle Vergne, Joseph A. Wolf, Kayue Daniel Wong, and Chen-Bo Zhu.
The Mathematical Work of Toshiyuki Kobayashi is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Table of Contents:
The Mathematical Work of Toshiyuki Kobayashi (William M. Goldman, Kazuki Kannaka, Toshihisa Kubo, Takayuki Okuda, Yoshiki Oshima, Michael Pevzner, Atsumu Sasaki, Hideko Sekiguchi).- Tensor product of holomorphic discrete series representations of U(p, q) and quivers (Velleda Baldoni and Michèle Vergne).- Genuine special unipotent representations of spin groups (Dan Barbasch, Jia-Jun Ma, Binyong Sun, and Chen-Bo Zhu).- Admissible modules and normality of classical nilpotent orbits (Dan Barbasch and Kayue Daniel Wong).- A general approach to constructing minimal representations of Lie supergroups (Sigiswald Barbier and Sam Claerebout).- A note on the orbits of a symmetric subgroup in the flag variety (Leticia Barchini and Peter E. Trapa).- On the rational symplectic group (Yves Benoist).- Conformal Loxodromes (Michael Eastwood).- A family of Spin (8) dual pairs: the case of real groups (Wee Teck Gan, Hung Yean Loke, Annegret Paul and Gordan Savin).- The Oscillator Semigroup over Finite Fields (Roger Howe).- Zariski-dense discontinuous surface groups for reductive symmetric spaces (Kazuki Kannaka, Takayuki Okuda, and Koichi Tojo).- Geometry of light wave fronts (Reiko Miyaoka).- A proof of Kobayashi's properness criterion from a viewpoint of metric geometry (Kento Ogawa and Takayuki Okuda).- Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem (Paul-Émile Paradan).- Transfer Operators and Hankel Transforms: Horospherical Limits and Quantization (Yiannis Sakellaridis).- Invariant measures on non-symmetric reductive real spherical homogeneous spaces of rank-one type (Atsumu Sasaki).- A Note on Multiplicity-Freeness Property of Cohomology Spaces (Yuichiro Tanaka).- On the Homogeneity Conjecture (Joseph A. Wolf).
