Current Developments in Mathematics

Volume 2021

Representations of $p$-adic groups

Pages: 1 – 42



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


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.

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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