时间：2022年3月4日（星期五）10:00-11:30
地点：4#519&ZOOM
ZOOM会议号：847 7152 0773
密码：689378
主持人：关力凡博士
主讲人：温州大学 蔡一常博士
报告题目：Derived deformation rings and cohomology of locally symmetric spaces
主讲人简介：
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：
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.
