Coherent sheaves on the stack of Langlands parameters
Algebraic Geometry
2025-11-14 v3 Number Theory
Representation Theory
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.
Cite
@article{arxiv.2008.02998,
title = {Coherent sheaves on the stack of Langlands parameters},
author = {Xinwen Zhu},
journal= {arXiv preprint arXiv:2008.02998},
year = {2025}
}
Comments
Final version, to appear in the Proceedings of the 2022 IHES Summer School on the Langlands program