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SUMMARY:The Smooth Representations of GL(2\,O) - Tom Adams\, University of
  Cambridge
DTSTART:20211126T150000Z
DTEND:20211126T160000Z
UID:TALK165769@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION: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 fo
 rms. 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 th
 eory\, I will give an overview of a paper by Alexander Stasinski which cla
 ssifies 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.
LOCATION:CMS MR11
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