Witt affine Springer theory
Representation Theory
2026-01-16 v1 Algebraic Geometry
Number Theory
Abstract
This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theory of perfectly placid perfect infinity stacks and establish their dimension theory. Furthermore, we prove that, in the Witt vector setting, the Chevalley morphism between arc spaces is flat.
Cite
@article{arxiv.2601.09798,
title = {Witt affine Springer theory},
author = {Noam Nissan and Yakov Varshavsky},
journal= {arXiv preprint arXiv:2601.09798},
year = {2026}
}