Duality for automorphic sheaves with nilpotent singular support

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.

References in corpus (2)

• The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
• Deligne--Lusztig duality on the moduli stack of bundles

Cited by in corpus (2)

• Automorphic functions as the trace of Frobenius
• Duality and kernels in microlocal geometry