Symmetry in Geometry and Analysis, Volume 3 Festschrift in Honor of Toshiyuki Kobayashi

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.

This third volume of the Festschrift contains original articles on branching problems in representation theory of reductive Lie groups and related topics.
Contributions are by Ali Baklouti, Hidenori Fujiwara, Dmitry Gourevitch, Masatoshi Kitagawa, Salma Nasrin, Yoshiki Oshima, and Petr Somberg.

A solution to Duflo's polynomial problem for nilpotent Lie groups restricted representations (Ali Baklouti and Hidenori Fujiwara).- Multiplicities and associated varieties in representation theory of reductive groups (Dmitry Gourevitch).-Kobayashi’s Conjectures on the Discrete Decomposability (Masatoshi Kitagawa).- Kobayashi’s multiplicity-one theorems in branching laws and orbit philosophy beyond tempered representations (Salma Nasrin).- Discrete branching laws of derived functor modules (Yoshiki Oshima).- Rankin-Cohen brackets for orthogonal Lie algebras and bilinear conformally equivariant differential operators (Petr Somberg).