On the number of rational points of classifying stacks for Chevalley group schemes
Algebraic Geometry
2020-06-23 v3 Algebraic Topology
Representation Theory
Abstract
We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz-Grothendieck trace formula of Behrend for -adic cohomology of algebraic stacks. From this we also derive associated zeta functions for these classifying stacks.
Cite
@article{arxiv.1910.04231,
title = {On the number of rational points of classifying stacks for Chevalley group schemes},
author = {Scott Balchin and Frank Neumann},
journal= {arXiv preprint arXiv:1910.04231},
year = {2020}
}
Comments
15 pages, comments welcome