Weak local-global compatibility and ordinary representations
Przemyslaw Chojecki
Polish Academy of Sciences, Warsaw, Poland
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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.
Cite this article
Przemyslaw Chojecki, Weak local-global compatibility and ordinary representations. Rend. Sem. Mat. Univ. Padova 139 (2018), pp. 159–183
DOI 10.4171/RSMUP/139-5