L. Manivel: “Quantum Satake for Miniscule Spaces”

Here are my notes from Manivel’s talk in Bonn:



  • geometric Satake after Drinfeld and Ginzburg
  • example: OG(5,10)
  • the quantum Chevalley formula (Fulton–Woodward)
  • cohomology of G/P in general
  • cohomology of G/P: improvements in the miniscule case
  • semisimplicity of QH^\bullet(G/P)|_{q=1} (Chaput–Manivel–Perrin) and connections to work of Kostant (Gorbunov–Petrov)
  • quantum Satake for miniscule type-D Grassmannians

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