Analysis on homogeneous spaces and operator algebras

Density of spherical characters

25 mars 2025, 15:30

1h

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Eitan Sayag (Ben-Gurion University)

Description

Spherical characters are distributions on homogeneous spaces that play an important role in the relative trace formula. Natural density problems regarding these distributions lead to some open problems in harmonic analysis. In a joint work with A. Aizenbud (Weizmann) and J. Bernstein (Tel-Aviv), we introduce some algebraic methods to tackle some of these density problems in the $p$-adic case.