## 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