Geodesic
Banach-Hecke algebras and $p$-adic Galois representations
Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 631-684.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, we take some initial steps towards illuminating the (hypothetical) $p$-adic local Langlands functoriality principle relating Galois representations of a $p$-adic field $L$ and admissible unitary Banach space representations of $G(L)$ when $G$ is a split reductive group over $L$.
Classification : 11F80, 11S37, 22E50
Keywords: $p$-adic local Langlands correspondence, Satake isomorphism, Iwahori-Hecke algebra, Banach-Hecke algebra, filtered isocrystal, crystalline Galois representation 
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     author = {Schneider, P. and Teitelbaum, J.},
     title = {Banach-Hecke algebras and $p$-adic {Galois} representations},
     journal = {Documenta mathematica},
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     publisher = {mathdoc},
     volume = {John H. Coates' Sixtieth Birthday},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a5/}
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Schneider, P.; Teitelbaum, J. Banach-Hecke algebras and $p$-adic Galois representations. Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 631-684. http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a5/