Rendiconti del Seminario Matematico della Università di Padova

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Volume 139, 2018, pp. 159–183
DOI: 10.4171/RSMUP/139-5

Published online: 2018-06-06

Weak local-global compatibility and ordinary representations

Przemyslaw Chojecki[1]

(1) Polish Academy of Sciences, Warsaw, Poland

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: Galois representations, Shimura varieties, Langlands program

Chojecki Przemyslaw: Weak local-global compatibility and ordinary representations. Rend. Sem. Mat. Univ. Padova 139 (2018), 159-183. doi: 10.4171/RSMUP/139-5