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Applications of (higher) categorical trace I: the definition of AGCat

2025/12/25 by Dennis Gaitsgory, Gaitsgory, Dennis, Nick Rozenblyum +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Operator Algebra Research

paper · doi:10.48550/arxiv.2512.21726

Abstract

In this paper we record the formalism of algebro-geometric DG categories (in short AGCat) following a suggestion of V. Drinfeld. This formalism will be applied to ``real-world" problems in papers sequel to this one, [GRV2] and [GRV3].

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