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Understanding Category O via Symplectic Geometry
刘思阳 博士(波恩大学)
2026-01-15 14:00-15:00  闵行校区数学楼102

主持人:罗栗 教授

报告摘要:
The works of Brylinski-Kashiwara and Berenstein-Gelfand-Gelfand illustrated that we could understand representation theory of Lie algebras via algebraic geometry of flag
varieties. This phenomena turned out to include many other situations, including representation theory of quivers: we can associate to a given representation-theoretic data an algebraic symplectic variety, whose "category O" recovers the desired representation-theoretic data. Recent understanding of the geometric nature of such varieties expects that category Os should actually be symplectic invariants. In this talk, I'll explain one case where this expectation is verified. This is based on the recent joint work with Sukjoo Lee, Yin Li and Cheuk Yu Mak.

报告人简介:
刘思阳,本科毕业于中山大学(指导教师为胡建勋教授),博士毕业于美国南加州大学,师从 Sheel Ganatra 教授。研究方向为辛几何,特别是辛不变量的计算,包括辛上同调、(部分)卷绕 Fukaya 范畴等。