Critical stable envelopes, Yangians, and cohomological Hall algebras

Geometric Representation Theory and 3d Mirror Symmetry October 05, 2026 - October 09, 2026

October 06, 2026 (09:30 AM PDT - 10:30 AM PDT)

Speaker(s): Yehao Zhou (Shanghai Institute for Mathematics and Interdisciplinary Sciences)
Location: SLMath: Eisenbud Auditorium, Online/Virtual

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

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Critical stable envelopes, Yangians, and cohomological Hall algebras

Abstract

Given a symmetric quiver Q with potential W, I will describe in this talk a construction of a (shifted) Yangian Y(Q,W) and its underlying Lie algebra g(Q,W) using the critical stable envelopes and R-matrices. I will also talk about relation between Y(Q,W) and the cohomological Hall algebra, and between g(Q,W) and the BPS Lie algebra. This is based on works 2512.23929 and 2601.01518 with Cao, Okounkov, and Zhou, and work in progress with Botta, Davison, and Zhu.

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Critical stable envelopes, Yangians, and cohomological Hall algebras

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