Weak local-global compatibility and ordinary representations
Chojecki, Przemyslaw1
1 Polish Academy of Sciences, Warsaw, Poland
Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 159-183.

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.

Publié le :
DOI : 10.4171/RSMUP/139-5
Classification : 11, 00
Mots clés : Galois representations, Shimura varieties, Langlands program
Chojecki, Przemyslaw 1

1 Polish Academy of Sciences, Warsaw, Poland 
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     title = {Weak local-global compatibility and ordinary representations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {159--183},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {139},
     year = {2018},
     doi = {10.4171/RSMUP/139-5},
     mrnumber = {3825184},
     zbl = {1468.11140},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/139-5/}
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Chojecki, Przemyslaw. Weak local-global compatibility and ordinary representations. Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 159-183. doi : 10.4171/RSMUP/139-5. http://www.numdam.org/articles/10.4171/RSMUP/139-5/

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