Weak local-global compatibility and ordinary representations

DOI10.4171/RSMUP/139-5zbMATH Open1468.11140arXiv1306.3496OpenAlexW2963427863WikidataQ129719043 ScholiaQ129719043MaRDI QIDQ1650210

Przemyslaw Chojecki

Publication date: 2 July 2018

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1306.3496

zbMATH Keywords

Shimura varietiesGalois representationsLanglands program

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18)

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