An automorphic description of the zeta function of the basic stratum of certain Kottwitz varieties
Number Theory
2024-11-05 v1 Algebraic Geometry
Representation Theory
Abstract
We derive formulas for the number of points on the basic stratum of certain Kottwitz varieties in terms of automorphic representations and certain explicit polynomials, for which we present efficient algorithms for computation. We obtain our results using the trace formula, base change, representations of general linear groups over p-adic fields, and a truncation of the formula of Kottwitz for the number of points on Shimura varieties over finite fields.
Keywords
Cite
@article{arxiv.2411.01224,
title = {An automorphic description of the zeta function of the basic stratum of certain Kottwitz varieties},
author = {Yachen Liu},
journal= {arXiv preprint arXiv:2411.01224},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1111.6830 by other authors