Applications of curved Koszul duality to modular geometric representation theory

Abstract: Recall the Koszul duality between symmetric and exterior algebras. When the exterior algebra is deformed to a Koszul complex, it turns out that one should equip the corresponding deformation of the symmetric algebra with a curvature. This is an example of the curved Koszul duality of Burke, which builds on ideas of Keller, Lefevre-Hasegawa, and Positselski. I will give a slightly different (and softer) take on these ideas, then explain applications to modular geometric representation theory. Includes joint work with Matthew Hogancamp.

mathematical physicsalgebraic geometrycategory theoryrepresentation theory

Audience: researchers in the topic

UMass Amherst Representation theory seminar