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苏 钧 博士:Coherent cohomology of Shimura varieties and their automorphy

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 苏 钧 博士，University of Cambridge
Inviter:
Title:
 Coherent cohomology of Shimura varieties and their automorphy
Time & Venue:
 2021.08.13 16:00-17:00 腾讯会议：744 684 733 南楼N204室
Abstract:
 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.

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