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arXiv · 2608.04207

Iwahori Fundamental Local Equivalence

Taeuk Nam
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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.

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Taeuk Nam. 2026-08-04. Iwahori Fundamental Local Equivalence. https://arxiv.org/abs/2608.04207

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