Euphotic representations and rigid automorphic data

Abstract

We propose a new method to construct rigid $G$-automorphic representations and rigid $\hat{G}$-local systems for reductive groups $G$. The construction involves the notion of euphotic representations, and the proof for rigidity involves the geometry of certain Hessenberg varieties.

48 pages. Final version

References in corpus (1)

• Classification of Rigid Irregular $G_2$-Connections

Cited by in corpus (1)

• Airy sheaves for reductive groups