English

Spectral decomposition of genuine cusp forms over global function fields

Algebraic Geometry 2026-04-07 v3 Number Theory

Abstract

We prove a version of the twisted geometric Satake equivalence and extend the Langlands parametrization of V. Lafforgue to certain covers of reductive groups.

Keywords

Cite

@article{arxiv.2302.13023,
  title  = {Spectral decomposition of genuine cusp forms over global function fields},
  author = {Yifei Zhao},
  journal= {arXiv preprint arXiv:2302.13023},
  year   = {2026}
}

Comments

132 pages; a substantial revision of the published version

R2 v1 2026-06-28T08:49:22.519Z