Zelevinsky Duality on Basic Local Shimura Varieties
Number Theory
2022-09-16 v2 Representation Theory
Abstract
We give a simple proof of a general result describing the action of the Zelevinsky involution on the cohomology of certain basic local Shimura varieties, using the machinery of Fargues-Scholze. As an application, we generalize earlier results of Fargues and Mieda on the action of the Zelevinsky involution on the cohomology of and type basic local Shimura varieties, respectively.
Keywords
Cite
@article{arxiv.2109.01213,
title = {Zelevinsky Duality on Basic Local Shimura Varieties},
author = {Linus Hamann},
journal= {arXiv preprint arXiv:2109.01213},
year = {2022}
}
Comments
Comments and corrections are welcome! v2 fixed some small mistakes