Un cas PEL de la conjecture de Kottwitz
Number Theory
2022-04-15 v2
Abstract
The Kottwitz conjecture describes the cohomology of basic Rapoport-Zink spaces using local Langlands correspondences. In this paper, via geometrical studies of some Kottwitz-type Shimura varieties, we prove this conjecture for basic simple unramified unitary PEL type Rapoport-Zink spaces of signature (1, n-1).
Keywords
Cite
@article{arxiv.1903.11505,
title = {Un cas PEL de la conjecture de Kottwitz},
author = {Kieu Hieu Nguyen},
journal= {arXiv preprint arXiv:1903.11505},
year = {2022}
}
Comments
in French