中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 苏钧 博士（University of Cambridge）

题  目：Coherent cohomology of Shimura varieties and their automorphy

时  间：2021.08.13（星期五），16:00-17:00

地  点：数学院南楼N204室腾讯会议：744 684 733

摘  要：With modulars forms being the prototype, coherent cohomology groups of Shimura varieties make important bridges connecting Galois and automorphic representations. In non-proper cases these cohomology groups still have a nice formulation thanks to the local torus-bundle structures in Shimura varieties. Analogous to Borel and Franke’s work on cohomology of local systems on locally symmetric spaces, we establish a Hecke equivariant isomorphism between these coherent cohomology and relative Lie algebra cohomology of automorphic forms.