报告摘要：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. We prove that critical stable envelopes are compatible with dimensional reductions, specializations, Hall products, and other geometric constructions. These have applications to geometric representation theory of shifted quantum groups and enumerative geometry of critical loci.

报告人简介：
曹亚龙，中国科学院晨兴数学中心副教授。2016年博士毕业于香港中文大学。2016年到2024年在东京大学卡弗里数学物理宇宙研究机构，牛津大学，日本理化学研究所工作。2024年加入中国科学院晨兴数学中心。研究领为代数几何，辛几何和数学物理。主要成果发表在Adv. Math, Comm. Math. Phys., Math. Ann等期刊。