Coherent sheaves on the stack of Langlands parameters

By Xinwen Zhu. 2020

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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.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/14518e5f9aac8a469a72d6c6d41c9d58db71b49c