Mirror symmetry and big algebras

29.11.2022 13:15 - 14:45

Tamas Hausel (ISTA)

First we recall the mirror symmetry identification of the coordinate ring

of certain very stable upward flows in the Hitchin system and the Kirillov algebra for

the minuscule representation of the Langlands dual group via the equivariant cohomology

of the cominuscule flag variety (e.g. complex Grassmannian). In turn we discuss a conjectural

extension of this picture to non-very stable upward flows in terms of a big commutative subalgebra

of the Kirillov algebra, which also ringifies the equivariant intersection cohomology of the

corresponding affine Schubert variety.


H. Grobner, A. Minguez-Espallargas, A. Mellit


SR 10, 2. OG., OMP 1