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University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > Representations of GL_2 and p-adic Symmetric Spaces

## Representations of GL_2 and p-adic Symmetric SpacesAdd to your list(s) Download to your calendar using vCal - James Taylor, University of Oxford
- Friday 06 May 2022, 15:00-16:00
- CMS MR11.
If you have a question about this talk, please contact Tom Adams. Let F be a finite field or a p-adic field. One method of constructing irreducible representations of G = GL_2(F), is to consider spaces on which G naturally acts and look at the representations arising from invariants of these spaces, such as cohomology groups. In this talk, I will discuss how this is done for abstract representations of G (when F is finite), and smooth representations of G (when F is p-adic). The first space 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. 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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