English

The motivic Satake equivalence using perverse Nori motives

Algebraic Geometry 2026-02-23 v2

Abstract

In this article, we develop the theory of stratified perverse Nori motives to prove a refinement of the geometric Satake equivalence of Mirkovi\'c-Vilonen, for which we call the Nori motivic Satake equivalence, in contrast to the "Tate motivic" Satake equivalence of Richarz-Scholbach.

Keywords

Cite

@article{arxiv.2601.02004,
  title  = {The motivic Satake equivalence using perverse Nori motives},
  author = {Khoa Bang Pham},
  journal= {arXiv preprint arXiv:2601.02004},
  year   = {2026}
}