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Geometric Satake

Hot Topics: Recent progress in Langlands Program April 08, 2019 - April 12, 2019

April 08, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Robert Cass (Harvard University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • geometric Satake

  • perverse sheaf

  • geometric Langlands program

  • algebraic curve

  • moduli of vector bundles

  • affine Grassmannian

  • Beilinson-Drinfeld Grassmannian

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

4-Cass

Abstract

The geometric Satake equivalence is an equivalence between representations of the dual group and equivariant perverse sheaves on the affine Grassmannian. This can be viewed as a local statement happening over a fixed point on a global curve. In this talk I will explain a version of the geometric Satake equivalence over a power of a global curve. I will also describe how this construction is compatible with certain operations over the Beilinson-Drinfeld Grassmannians, such as convolution and fusion.

Supplements
Asset no preview Notes 278 KB application/pdf Download
Video/Audio Files

4-Cass

H.264 Video 855_26572_7698_4-Cass.mp4
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