| Speaker: |
Che Shen (Columbia University) |
| Title: |
Quasimaps to the Flag Variety and Tilting Modules in Category O |
| Date (JST): |
Tue, Dec 23, 2025, 15:30 - 17:00 |
| Place: |
Seminar Room A |
| Abstract: |
A quasimap from an algebraic curve to a GIT quotient is a map to the stack quotient that is generically stable. The geometry of Laumon spaces (an open subset of quasimaps from P^1 to the flag variety) is closely related to the representation theory of gl_n. In particular, one can construct an action of gl_n on the cohomology of Laumon spaces via geometric correspondences, and this cohomology can be identified with dual Verma modules of gl_n under this action. The full moduli space of quasimaps provides a natural compactification of Laumon spaces. I will explain how to construct an action of gl_n on the equivariant cohomology of these moduli spaces and explore its relation to tilting modules in Category O.
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