Stable (parabolic) holomorphic vector bundles over complex curves and instanton Floer homology

Time：Wed.,15:30-16:30, April 26, 2023

Venue：Conference Room 3 Jinchunyuan West Building

Organizer：Xiang He, Chenglong Yu Dingxin Zhang, Jie Zhou

Speaker：Yi Xie 谢羿 Peking University 北京大学

Abstract

Stable holomorphic bundles are objects in algebraic geometry which have been studied by many people. Instanton Floer homology is an invariant of 3-manifolds, which has been used to solve many problems in the low dimensional topology. It turns out the two things are closely related: knowledge on the moduli space of stable bundles can help the calculation of Instanton Floer homology. In this talk, I will explain this relationship and its generalization to stable parabolic bundles. This is joint work with Boyu Zhang.

About the speaker

Yi Xie 谢羿

北京国际数学研究中心助理教授

研究方向：规范理论和低维拓扑

DATEApril 26, 2023

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