2025 - T1 - Representation theory and noncommutative geometry

Collection 2025 - T1 - Representation theory and noncommutative geometry

Organizer(s) Afgoustidis, Alexandre ; Aubert, Anne-Marie ; Clare, Pierre ; Frahm, Jan ; Pasquale, Angela ; Şengün, Haluk
Date(s) 06/01/2025 - 04/04/2025
linked URL https://indico.math.cnrs.fr/event/10843/
45 112

Density of spherical characters

By Eitan Sayag

Also appears in collection : 2025 - T1 - WS3 - Analysis on homogeneous spaces and operator algebras

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.

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*Avraham Aizenbud, Joseph Bernstein, Eitan Sayag: "Strong density of spherical characters attached to unipotent subgroups" arXiv:2202.04984

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