Location: MSRI: Simons Auditorium
geometric Langlands program
moduli of vector bundles
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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