2008.02998Aug 7, 2020Final version, to appear in the Proceedings of the 2022 IHES Summer School on the Langlands program

Coherent sheaves on the stack of Langlands parameters

Xinwen Zhu

Algebraic Geometry Number Theory Representation Theory

arXiv PDF

Abstract

We formulate a few conjectures on some hypothetical coherent sheaves on the stacks of arithmetic local Langlands parameters, including their roles played in the local-global compatibility in the Langlands program. We survey some known results as evidences of these conjectures.

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