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

2024/11/08 by Bogdanova, Ekaterina · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2411.05297

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 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.

Cited by

• Iwahori Fundamental Local Equivalence

Related

• Enriched Locally Generated Categories
• The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
• Gluing invariants of Donaldson--Thomas type -- Part II: Matrix factorizations
• Factorization systems in ∞-categories
• Assembly of Constructible Factorization Algebras