时间：2022年3月4日（星期五）上午10:00-11:30

Time：10:00-11:30, Friday, March 4th, 2022

地点：4#519 & ZOOM

Venue: 4#519 & ZOOM

会议号/ZOOM ID：847 7152 0773

密码/Passcode：689378

主持人：理论科学研究院 关力凡博士

Host：Dr. Lifan Guan, Institute for Theoretical Sciences

主讲人：温州大学 蔡一常博士

Speaker：Dr. Yichang Cai, Wenzhou University

主讲人介绍/Biography:

Yichang Cai is a lecturer at the College of Mathematics and Physics, Wenzhou University. He obtained his PhD in June 2021 from Université Sorbonne Paris Nord under the supervision of Prof. Jacques Tilouine. His main area of interest lies in number theory, especially in deformation theory.

报告摘要/Abstract：

It has been observed by Venkatesh that the cohomology of locally symmetric spaces with integral coefficients has some additional homotopical structures. In the paper [Derived Galois Deformation Rings] by Galatius and Venkatesh, the authors introduced homotopical generalizations of universal deformation rings, and proved a homotopical version of the "R=T" type statement, thus providing an explanation of those additional structures. In this talk, we will explain the idea of Galatius and Venkatesh, and generalize their main theorem by removing certain assumptions. In particular, the congruences inside the localized Hecke algebra are allowed.