Tilting Equivalences in Perfectoid Shimura Varieties and the p-adic Local Langlands Correspondence
Abstract
We establish a canonical isomorphism between the etale cohomology of perfectoid Shimura varieties and the coherent cohomology of their tilts over the Fargues-Fontaine curve, implying a geometric realization of the p-adic Local Langlands correspondence for supercuspidal representations.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026