MS Seminar (Mathematics - String Theory)

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