报告人: 黄瑞芝（中国科学院）

日  期: 2020年1月6日

时  间: 16:30

地  点: 理科楼 LA106

摘  要: Spin structure and its higher analogies play important roles in index theory and mathematical physics. In particular, Witten genera for String manifolds have nice geometric implications. As a generalization of the work of Chen-Han-Zhang (2011), we introduce the general Stringc structures based on the algebraic topology of Spinc groups. It turns out that there are infinitely many distinct universal Stringc structures indexed by the infinite cyclic group. We then construct a family of the so-called generalized Witten genera for Spinc manifolds, the geometric implications of which can be exploited in the presence of Stringc structures. As in the un-twisted case studied by Witten, Liu, etc, in our context there are also integrality, modularity, and vanishing theorems for effective non-abelian group actions. We will give some applications of our vanishing theorem.

This a joint work with Haibao Duan and Fei Han.

报告人简介：黄瑞芝，2017年于新加坡国立大学获得博士学位，2018年至今在中科院数学所做博士后。他的研究领域为代数拓扑及其在流形拓扑及微分几何中的应用。至今发表SCI论文10篇，获博士后面上及特别资助、博士后国际交流计划引进项目、国家自然科学基金青年项目、华人数学家大会新世界数学奖优胜奖等荣誉。

公司联系人: 张 平

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