English

Euphotic representations and rigid automorphic data

Algebraic Geometry 2023-01-24 v3 Number Theory Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.2008.04029,
  title  = {Euphotic representations and rigid automorphic data},
  author = {Konstantin Jakob and Zhiwei Yun},
  journal= {arXiv preprint arXiv:2008.04029},
  year   = {2023}
}

Comments

48 pages. Final version

R2 v1 2026-06-23T17:44:46.400Z