Duality for automorphic sheaves with nilpotent singular support

2020/12/14 by D. Arinkin, Arinkin, D., Dennis Gaitsgory +9 · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2012.07665

Abstract

We identify the category Shv_Nilp(Bun_G) of automorphic sheaves with nilpotent singular support with its own dual, and relate this structure to the Serre functor on Shv_Nilp(Bun_G) and miraculous duality.

Cited by

• Period sheaves via perverse pullbacks
• Local and global Langlands conjecture(s) over function fields

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