From Langlands–Rapoport to the trace formula

Abstract: In this talk, I will report on joint work with Mark Kisin and Yihang Zhu to establish a stabilized trace formula computing the cohomology of abelian-type Shimura varieties at a prime of good reduction. As a key intermediate step, we prove a version of the Langlands-Rapoport conjecture that is more precise than shown in Kisin’s recent paper.

number theory

Audience: researchers in the topic

London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html