Parabolic Hilbert schemes on singular curves and representation theory

Abstract: I will construct representations of various interesting algebras (such as rational Cherednik algebras and quantized Gieseker varieties) using the geometry of parabolic Hilbert schemes of points on plane curve singularities. A connection to Coulomb branch algebras of Braverman, Finkelberg and Nakajima will be also outlined. The talk is based on a joint work with Jose Simental and Monica Vazirani.

mathematical physicsalgebraic geometrycategory theoryrepresentation theory

Audience: researchers in the topic

UMass Amherst Representation theory seminar