| Speaker: | Tamas Hausel (IST Austria ) |
|---|---|
| Title: | Mirror symmetry, big algebras and real forms |
| Date (JST): | Tue, Sep 12, 2023, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
I will explain how to model the Hitchin system on certain very stable upward flows by the spectrum of equivariant cohomology of a Grassmannian and its mirror by the spectrum of the Kirillov algebra of a minuscule representation of the Langlands dual group. Then we generalise this to non-minuscule representations using a big commutative subalgebra of the Kirillov algebra, ringifying the equivariant intersection cohomology of affine Schubert varieties. We finish discussing the finer stucture of these big algebras and in particular a set of results and conjectures on involutions induced from quasi-split real forms. At the end we mention expectations of principal endoscopy and transfer for big algebras. |
| Remarks: | Seminar room A + Zoom |
