Speaker: Konstantin Aleshkin

Title: Inductive construction of stable envelopes

Abstract: I will give an exposition of the paper with the same title by Andrei Okounkov, specifically second section - the one where this construction is described. Elliptic stable envelopes are correspondences between fixed loci X^A of a group action A on X and X itself providing a better version of attracting sets of A action. I will start by reviewing necessary topics from equivariant elliptic cohomology (taking a computational approach) and discuss applications at the end if the time allows.