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University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > The Smooth Representations of GL(2,O)

## The Smooth Representations of GL(2,O)Add to your list(s) Download to your calendar using vCal - Tom Adams, University of Cambridge
- Friday 26 November 2021, 15:00-16:00
- CMS MR11.
If you have a question about this talk, please contact Tom Adams. The representations of p-adic groups are of significant number-theoretic interest. For example, they feature prominently in the p-adic Langlands program and also have connections to the study of automorphic forms. Let K be a p-adic field and O be its ring of integers. To understand the smooth representations of the p-adic group GL(n,K), it is useful to consider the representation theory of its compact subgroups such as GL(n,O). In this talk, after introducing some general p-adic representation theory, I will give an overview of a paper by Alexander Stasinski which classifies the characters of smooth complex representations of GL(2,O). The approach in this paper is based on Clifford theory for finite groups, and a corresponding study of orbits and stabilisers. This talk is part of the Junior Algebra and Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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