English

Weak local-global compatibility and ordinary representations

Number Theory 2014-05-15 v2 Algebraic Geometry Representation Theory

Abstract

We introduce a general formalism with minimal requirements under which we are able to prove the pro-modular Fontaine-Mazur conjecture. We verify it in the ordinary case using the recent construction of Breuil and Herzig.

Keywords

Cite

@article{arxiv.1306.3496,
  title  = {Weak local-global compatibility and ordinary representations},
  author = {Przemyslaw Chojecki},
  journal= {arXiv preprint arXiv:1306.3496},
  year   = {2014}
}

Comments

19 pages

R2 v1 2026-06-22T00:34:08.520Z