Geometric Satake
Hot Topics: Recent progress in Langlands Program April 08, 2019 - April 12, 2019
Location: MSRI: Simons Auditorium
geometric Satake
perverse sheaf
geometric Langlands program
algebraic curve
moduli of vector bundles
affine Grassmannian
Beilinson-Drinfeld Grassmannian
14D24 - Geometric Langlands program: algebro-geometric aspects [See also 22E57]
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]
14M15 - Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35]
4-Cass
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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4-Cass
| H.264 Video | 855_26572_7698_4-Cass.mp4 |
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