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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
  • 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



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.

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H.264 Video 855_26572_7698_4-Cass.mp4
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