The author establishes three equivalences of factorization module categories: the Iwahori-ramified versions of the Arkhipov-Bezrukavnikov, Bezrukavnikov, and Fundamental Local Equivalences.
Local systems with restricted variation on the formal punctured disc via factorization
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abstract
We define the stack of $G$-local systems with restricted variation on the formal puntured disc and study its properties. We embed sheaves of categories over this stack into the category of factorization module categories over $\operatorname{Rep}(G)$. Along the way we develop a theory of factorization structures in families and study functorialities of such under changes of the base curve.
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math.AG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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Iwahori Fundamental Local Equivalence
The author establishes three equivalences of factorization module categories: the Iwahori-ramified versions of the Arkhipov-Bezrukavnikov, Bezrukavnikov, and Fundamental Local Equivalences.