Westlake Online Math Forum | Zhi Hu: 3D-Gravity: the three-way intersection of physics,geometry & arithmetic; Parahoric reduction of formal G-connections

2025-09-26 09:04:25

时间2025年10月15日(星期三)13:30-17:30

地点:E4-233


主讲人: 南京理工大学 胡智


讲座主题一:3D-Gravity: the three-way intersection of physics, geometry & arithmetic

讲座摘要一: Although 3(=2+1)D-gravity is toy physical model, it has rich content closely related to geometry and arithmetic. In this talk, I will introduce our work on this topic.


讲座主题二:Parahoric reduction of formal G-connections

讲座摘要二:In this talk, we will establish parahoric reduction theory for G-connections over formal punctured disk, which generalizes classical Levelet-Turrittin-Babbitt-Varadarajan’s theory. As applications, it provides the Tannakian functoriality of regularity via Bremer-Sage’s geometric minimal K-type theory, and also a parahoric version of Frenkel-Zhu’s Borel reduction. This is a joint work with Pengfei Huang, Ruiran Sun and Runhong Zong.