3:45 pm Tuesday, March 31, 2020
Junior Geometry: Sheaves in Representation Theory by
Tom Gannon [mail] (UT Austin) in Zoom
One of the major ways to answer questions about representations of a Lie algebra or of a Lie group G is to associate the representations to the geometric objects on certain spaces associated to G. In the first part of this talk, we'll talk about motivation and definitions behind one of the first known associations, called the Beilinson-Bernstein localization theorem. In the second part of this talk, we'll talk about more recent efforts by Simon Riche and Geordie Williamson to make another one of these associations, known as the Geometric Satake Theorem, more explicit, leading to proofs and explanations of properties of Rep(G) when G is defined over a field of characteristic p. No prior knowledge of representation theory will be assumed, and basically no knowledge of algebraic geometry will be assumed, especially in the first part of the talk. Submitted by
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