V. Golyshev: “Introduction to the Satake Correspondence”

Here are my notes from Golyshev’s second talk in Bonn:

Golyshev_2_Bonn_Sep_2010

Summary:

  • the “spin representation of K3” and its quantum analog
  • some evidence: the Bertram–Ciocan-Fontanine–Kim result for QH^\bullet(Gr(k,n+1))
  • the geometric Satake correspondence (Drinfeld–Ginzburg)
  • miniscule Grassmannians as smooth L_+ G-orbits in the affine Grassmannian
  • a quantum analog of geometric Satake in this case

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