English

Exercices ad\'eliques

Number Theory 2024-11-18 v2 Representation Theory

Abstract

We study the cohomology of the group of rational points of a linear algebraic group on adelic functional spaces, and we explore the relation with Emerton's completed cohomology.

Keywords

Cite

@article{arxiv.2402.16231,
  title  = {Exercices ad\'eliques},
  author = {Pierre Colmez},
  journal= {arXiv preprint arXiv:2402.16231},
  year   = {2024}
}

Comments

in French language. Fixed the proof of prop.2.2 and some typos

R2 v1 2026-06-28T14:59:42.618Z