Elliptic stable envelopes and 3-dimensional mirror symmetry

Abstract: The action of quantum groups on the K-theory of Nakajima varieties takes the simplest form in the stable bases, invented by D.Maulik and A.Okounkov, and in their most advanced (elliptic) version by M.Aganagic and A.Okounkov. In collaboration with A.Smirnov we discovered and proved the factorization property of elliptic stable envelopes. As a consequence, we proved the conjectures of E.Gorsky and A.Negut. Also it gives a new interesting description of the operators of quantum difference equations, shift operators and other quantities in enumerative geometry. The talk is based on joint works with A.Smirnov.

representation theory

Audience: researchers in the topic

MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.