|Date: Monday, April 08, 2019
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Categorical stable envelopes
Abstract: I will discuss a categorification of the stable basis in the equivariant cohomology of an algebraic symplectic variety with a torus action, introduced by Maulik and Okounkov in their work on the quantum cohomology of Nakajima quiver varieties. The categorical stable envelopes are certain objects in the equivariant derived category of coherent sheaves characterized by support and weight conditions, and they are part of a more general story involving semiorthogonal decompositions of equivariant derived categories. I will discuss this construction, which also provides the first general construction of stable bases in the equivariant K-theory of algebraic symplectic varieties (although other constructions exist in the case of quiver varieties). This is joint work with Davesh Maulik and Andrei Okounkov.
Speaker: Daniel Halpern-Leistner