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

来源: 04-26

时间:Wed.,15:30-16:30, April 26, 2023

地点:Conference Room 3 Jinchunyuan West Building

组织者:Xiang He, Chenglong Yu Dingxin Zhang, Jie Zhou

主讲人: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

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