Abstract:

Stable envelopes are geometric objects introduced by Maulik-Okounkov on cohomology of Nakajima quiver varieties. They can be used to construct R-matrices and Yangian type quantum groups. 

In a joint work with Andrei Okounkov, Yehao Zhou and Zijun Zhou, we extend the theory of stable envelopes to critical cohomology of symmetric quiver varieties with potentials. Applications include geometric representation theory of shifted quantum groups and enumerative geometry of critical loci.