Affine Springer fibers and Hilbert schemes of points

Oscar Kivinen
(UC Davis)
Seminar
Thursday, 13 September, 2018, at 15:15-16:15, in Aud. D2 (1531-119)
Abstract:
In type A, affine Springer fibers in the affine Grassmannian are moduli spaces of torsion-free sheaves on singular plane curves, which are closely related to the quantum topology of the corresponding singularities. On the other hand, conjectures of Gorsky-Negut-Rasmussen and Oblomkov-Rozansky (stemming from three-dimensional supersymmetric field theories) relate quantum topology of links to the Hilbert schemes of points on the plane and its generalizations. I will explain some indirect connections between the two setups, using commutative algebra and representation theory. The talk is partially based on joint work in progress with Gorsky and Oblomkov.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen