Proportionality and the arithmetic volumes of Shimura varieties and the moduli of Shtukas
By Wei Zhang
Higher property T, Banach Representations and Applications
By Uri Bader
By Eitan Sayag
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.
*Avraham Aizenbud, Joseph Bernstein, Eitan Sayag: "Strong density of spherical characters attached to unipotent subgroups" arXiv:2202.04984