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苏 钧 博士:Coherent cohomology of Shimura varieties I: toroidal compactifications and sheaves on them

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 I: toroidal compactifications and sheaves on them
Time & Venue:
 2021.07.05 15:00-17:00 腾讯会议：558 608 783
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.
In this lecture we’ll embrace the construction of toroidal compactifications of Shimura varieties as well as coherent and fine sheaves on them.

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