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SUMMARY:Representations of GL_2 and p-adic Symmetric Spaces - James Taylor
 \, University of Oxford
DTSTART:20220506T140000Z
DTEND:20220506T150000Z
UID:TALK169853@talks.cam.ac.uk
CONTACT:Tom Adams
DESCRIPTION:Let F be a finite field or a p-adic field. One method of const
 ructing irreducible representations of G = GL_2(F)\, is to consider spaces
  on which G naturally acts and look at the representations arising from in
 variants of these spaces\, such as cohomology groups. In this talk\, I wil
 l discuss how this is done for abstract representations of G (when F is fi
 nite)\, and smooth representations of G (when F is p-adic). The first spac
 e is an affine algebraic variety\, and the second a tower of rigid spaces.
  I will then mention some recent results about how this tower allows us to
  construct new interesting p-adic representations of G\, before explaining
  how trying to adapt these methods leads naturally to considerations about
  certain geometric properties of these spaces.\n
LOCATION:CMS MR11
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