English

Arithmetic and Geometric Langlands Program

Number Theory 2025-04-11 v1 Representation Theory

Abstract

We explain how the geometric Langlands program inspires some recent new prospectives of classical arithmetic Langlands program and leads to the solutions of some problems in arithmetic geometry.

Keywords

Cite

@article{arxiv.2504.07502,
  title  = {Arithmetic and Geometric Langlands Program},
  author = {Xinwen Zhu},
  journal= {arXiv preprint arXiv:2504.07502},
  year   = {2025}
}

Comments

Survey article for the author's ICM 2022 talk. It might be slightly different from the published version