Some new directions in p-adic Hodge theory
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some_new_directions_in_p-adic_Hodge_theory.pdf
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Author(s)
Kedlaya, Kiran S.
Date Issued
January 2009
Journal
Journal de Théorie des Nombres de Bordeaux
Publisher
Cellule MathDoc/CEDRAM
Citation
Kedlaya, Kiran S. "Some new directions in p-adic Hodge theory." Journal de théorie des nombres de Bordeaux, 21 no. 2 (2009), p. 285-300. © Universite Bordeaux.
Version
Final published version
Abstract
We recall some basic constructions from p-adic Hodge theory, then describe some recent results in the subject. We chiefly discuss the notion of B-pairs, introduced recently by Berger, which provides a natural enlargement of the category of p-adic Galois representations. (This enlargement, in a different form, figures in recent work of Colmez, Bellaïche, and Chenevier on trianguline representations.) We also discuss results of Liu that indicate that the formalism of Galois cohomology, including Tate local duality, extends to B-pairs.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2009__21_2_285_0
