483 citations · 1.7k across the 181 of their papers we have counts for
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Hitchin systems and their quantization
Pavel Etingof, Henry Liu
This is an expanded version of the notes by the second author of the lectures on Hitchin systems and their quantization given by the first author at the Beijing Summer Workshop in…
A general framework for the analytic Langlands correspondence
Pavel Etingof, Edward Frenkel, David Kazhdan
We discuss a general framework for the analytic Langlands correspondence over an arbitrary local field F introduced and studied in our works arXiv:1908.09677, arXiv:2103.01509 and…
Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields
Pavel Etingof, Edward Frenkel, David Kazhdan
We continue to develop the analytic Langlands program for curves over local fields initiated in arXiv:1908.09677, arXiv:2103.01509 following a suggestion of Langlands and a work of…
Hecke operators and analytic Langlands correspondence for curves over local fields
Pavel Etingof, Edward Frenkel, David Kazhdan
We construct analogues of the Hecke operators for the moduli space of G-bundles on a curve X over a local field F with parabolic structures at finitely many points. We conjecture t…
An analytic version of the Langlands correspondence for complex curves
Pavel Etingof, Edward Frenkel, David Kazhdan
The Langlands correspondence for complex curves is traditionally formulated in terms of sheaves rather than functions. Recently, Langlands asked whether it is possible to construct…
The Hochschild cohomology ring of a global quotient orbifold
Cris Negron, Travis Schedler, Pieter Belmans +1
We study the cup product on the Hochschild cohomology of the stack quotient [X/G] of a smooth quasi-projective variety X by a finite group G. More specifically, we construct a G-eq…