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arXiv · 2411.05297

Local systems with restricted variation on the formal punctured disc via factorization

Ekaterina Bogdanova
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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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Ekaterina Bogdanova. 2024-11-08. Local systems with restricted variation on the formal punctured disc via factorization. https://arxiv.org/abs/2411.05297

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