Geometrization of the local Langlands correspondence, motivically
Algebraic Geometry
2026-01-23 v2 Number Theory
Representation Theory
Abstract
Based on the formalism of rigid-analytic motives of Ayoub--Gallauer--Vezzani, we extend our previous work with Fargues from -adic sheaves to motivic sheaves. In particular, we prove independence of of the -parameters constructed there.
Keywords
Cite
@article{arxiv.2501.07944,
title = {Geometrization of the local Langlands correspondence, motivically},
author = {Peter Scholze},
journal= {arXiv preprint arXiv:2501.07944},
year = {2026}
}
Comments
27 pages. final version, to appear in Crelle