English

Automorphic functions on moduli spaces of bundles on curves over local fields: a survey

Representation Theory 2022-06-24 v2 High Energy Physics - Theory Algebraic Geometry

Abstract

This paper is the written version of D.Kazhdan's plenary talk at ICM 2022. It is dedicated to an exposition of recent results and (mostly) conjectures attempting to construct an analog of the theory of automorphic functions on moduli spaces of bundles on curves over local fields (both archimedian and non-archimedian). The talk is based on joint works of D.Kazhdan with A.Braverman, P.Etingof, E.Frenkel and A.Polishchuk.

Keywords

Cite

@article{arxiv.2112.08139,
  title  = {Automorphic functions on moduli spaces of bundles on curves over local fields: a survey},
  author = {Alexander Braverman and David Kazhdan},
  journal= {arXiv preprint arXiv:2112.08139},
  year   = {2022}
}

Comments

29 pages