Iwahori Fundamental Local Equivalence

Taeuk Nam

Iwahori Fundamental Local Equivalence

Algebraic Geometry 2026-08-04 v1 Representation Theory

Authors: Taeuk Nam

Abstract

We construct three tamely ramified local equivalences of factorization module categories. The first is a factorization version of the Arkhipov-Bezrukavnikov equivalence at a point. The second is a factorization version of the Bezrukavnikov equivalence at a point. The third is an Iwahori-ramified version of the factorizable Fundamental Local Equivalence.

Keywords

factorization module categories local equivalence Arkhipov-Bezrukavnikov equivalence Bezrukavnikov equivalence Iwahori-ramified Fundamental Local Equivalence

Cite

@article{arxiv.2608.04207,
  title  = {Iwahori Fundamental Local Equivalence},
  author = {Taeuk Nam},
  journal= {arXiv preprint arXiv:2608.04207},
  year   = {2026}
}

Comments

43 pages