Current Developments in Mathematics

Volume 2021

Representations of $p$-adic groups

Pages: 1 – 42

DOI: https://dx.doi.org/10.4310/CDM.2021.v2021.n1.a1

Author

Jessica Fintzen (Universität Bonn, Germany; University of Cambridge, United Kingdom; and Duke University, Durham, North Carolina, U.S.A.)

Abstract

These are expanded notes from my talks at the Current Developments in Mathematics conference in March 2022. They give an introduction to what $p$-adic groups are, present key techniques used in the study of representations of $p$-adic groups and conclude with an overview of recent developments.

Please send comments and corrections to $\href{mailto:fintzen@math.uni-bonn.de}{\textrm{fintzen@math.uni-bonn.de}}$.

Full Text (PDF format)

The author was partially supported by NSF Grants DMS-2055230 and DMS-2044643, a Royal Society University Research Fellowship and a Sloan Research Fellowship.

Published 2 August 2023