IHES Annual Report 2020 | 37
Dennis GAITSGORY Mathematics, professor, Harvard University.
In a collaboration with Dima Arinkin, David Kazhdan, Sam Raskin, Nick Rozenblyum and Yakov Varshavsky, DENNIS GAITSGORY formulated and proved the Trace Conjecture , which expresses the space of unramified automorphic functions as the categorical trace of Frobenius on the category of automorphic sheaves with nilpotent singular support. In the process of doing so, they also proved a number of long-standing conjectures, including Laumon's conjecture that Hecke eigensheaves have nilpotent singular support.
Israel Gelfand Chair in Mathematics
With Y. Varshavsky Local Terms for the Categorical Trace of Frobenius Prepublication arXiv:2012.14257.
With D. Arinkin, D. Kazhdan, S. Raskin, N. Rozenblyum and Y. Varshavsky Duality for Automorphic Sheaves with Nilpotent Singular Support Prepublication arXiv:2012.07665.
The Stack of Local Systems with Restricted Variation and Geometric Langlands Theory with Nilpotent Singular Support Pre publication arXiv:2010.01906.
Chevalley Prize in Lie Theory (2018)
Editor of: Compositio Mathematica, Tunisian Journal of Mathematics, EPIGA
Israel Representation Theory and Algebraic Analysis, in honor of Joseph Bernstein on the occasion of his 75th birthday, Weizmann Institute of Science, Tel Aviv (11-14 May) Geometric 2nd adjointness via nearby cycles, a report on the work of Lin Chen (video conference)
United States Geometric Langlands Office Hours, Harvard University, Cambridge (19 May) A New Proof of Derived Satake (2 and 16 June) The Work of Ruaotao Yang on the FLE (16 and 21 June) Kazhdan Lusztig Equivalence via Screening Operators (9 December) Serre Functor and Miraculous Duality for Automorphic Sheaves with Nilpotent Singular Support (intercontinental research seminar)