Graduate Student Seminar | Alex Karapetyan (Northwestern University)

Title: Weil and it's the same but it's quantum so it's not

Abstract: The Weil algebra is a homological gadget associated to a Lie algebra which is a key tool in using differential forms to study equivariant cohomology of manifolds with group action (Club classics). I'll explain how this works and how to construct the "quantum Weil algebra", a noncommutative deformation. It can be used to generalize the PBW theorem to equivariant cohomology, and to study integrals on moduli spaces of flat bundles. Of course, first I will Rewind and Talk talk about the original PBW theorem and what happens to it when taking invariants, or So I will try.

Note: The talk will start at 4:10 pm

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