Representations of $p$-adic groups over coefficient rings

Abstract

Motivated by the Langlands program in representation theory, number theory and geometry, the theory of representations of a reductive $p$-adic group over a coefficient ring different from the field of complex numbers has been widely developped during the last two decades. This article provides a survey of basic results obtained in the 21st century.

Survey article prepared for the Proceedings of the I.C.M. 2022. Comments are welcome