# Springer Theory on a complex reductive group

## Sam Gunningham (UT Austin)

The Springer correspondence relates unipotent conjugacy classes in a complex reductive group G (e.g. G=GL_n(C)) to representations of the Weyl group W, (e.g. W=S_n). The Springer correspondence was extended by Lusztig to classify all equivariant local systems on unipotent conjugacy classes of cuspidal local systems on Levi subgroups of G, together with representations of relative Weyl groups. In this talk I will describe a new perspective of Springer Theory which leads to a description of all equivariant sheaves (or D-modules) on G. I will not assume any prior knowledge of Springer Theory.

Tuesday, April 15th, at 4:00pm in HBH 227

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