Some new directions in p-adic Hodge theory
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 diffe...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Cellule MathDoc/CEDRAM
2012
|
| Online Access: | http://hdl.handle.net/1721.1/71183 |
| _version_ | 1826202281019703296 |
|---|---|
| author | Kedlaya, Kiran S. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kedlaya, Kiran S. |
| author_sort | Kedlaya, Kiran S. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:05:02Z |
| format | Article |
| id | mit-1721.1/71183 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:05:02Z |
| publishDate | 2012 |
| publisher | Cellule MathDoc/CEDRAM |
| record_format | dspace |
| spelling | mit-1721.1/711832022-10-05T04:42:15Z Some new directions in p-adic Hodge theory Kedlaya, Kiran S. Massachusetts Institute of Technology. Department of Mathematics Kedlaya, Kiran S. Kedlaya, Kiran S. 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. National Science Foundation (U.S.) (CAREER award DMS-0545904) Alfred P. Sloan Foundation (Research Fellowship) 2012-06-20T20:15:48Z 2012-06-20T20:15:48Z 2009-01 2007-07 Article http://purl.org/eprint/type/JournalArticle 2118-8572 1246-7405 http://hdl.handle.net/1721.1/71183 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. en_US http://jtnb.cedram.org/jtnb-bin/item?id=JTNB_2009__21_2_285_0 Journal de Théorie des Nombres de Bordeaux Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Cellule MathDoc/CEDRAM Prof. Kedlaya |
| spellingShingle | Kedlaya, Kiran S. Some new directions in p-adic Hodge theory |
| title | Some new directions in p-adic Hodge theory |
| title_full | Some new directions in p-adic Hodge theory |
| title_fullStr | Some new directions in p-adic Hodge theory |
| title_full_unstemmed | Some new directions in p-adic Hodge theory |
| title_short | Some new directions in p-adic Hodge theory |
| title_sort | some new directions in p adic hodge theory |
| url | http://hdl.handle.net/1721.1/71183 |
| work_keys_str_mv | AT kedlayakirans somenewdirectionsinpadichodgetheory |