L. Manivel: “Quantum Satake for Miniscule Spaces”
Here are my notes from Manivel’s talk in Bonn:
Summary:
- geometric Satake after Drinfeld and Ginzburg
- example:
- the quantum Chevalley formula (Fulton–Woodward)
- cohomology of G/P in general
- cohomology of G/P: improvements in the miniscule case
- semisimplicity of
(Chaput–Manivel–Perrin) and connections to work of Kostant (Gorbunov–Petrov) - quantum Satake for miniscule type-D Grassmannians