10-30【李 思】五教5104 吴文俊数学重点实验室数学物理系列报告之2020-11

发布者:万宏艳发布时间:2020-10-28浏览次数:103

题目:Regularized Integrals over Riemann surfaces and modular forms 


报告人:李思,清华大学



时间:2020年10月30日(周五)16:30-17:30


地点:东区第五教学楼5104教室



摘要:Integrals over configuration spaces arise naturally from quantum field theories and provide links between algebra and geometry. For example, topological QFT on the circle leads to an algebraic analogue of index theorem;  topological QFT on the disk leads to Kontsevich's Formality Theorem on deformation quantization. In this talk, we introduce the notion of regularized integral to formulate an analytic theory for integrals over configuration spaces of Riemann surfaces that come from 2d chiral QFT. An an application, we explain how such regularized integrals lead geometrically to modular forms and certain chiral analogue of index theorem. This is joint work with Jie Zhou. Preprint available at arXiv:2008.07503.