{ "id": "1404.7386", "version": "v1", "published": "2014-04-29T14:59:24.000Z", "updated": "2014-04-29T14:59:24.000Z", "title": "Selmer complexes and the $p$-adic Hodge theory", "authors": [ "Denis Benois" ], "comment": "47 pages", "categories": [ "math.NT" ], "abstract": "The first part of the paper is a survey of recent results about the cohomology of $(\\phi,\\Gamma)$-modules and its applications to the theory of Selmer complexes. In the second part we formulate a version of the Main Conjecture for $p$-adic representations which are semistable at $p$ and discuss some related topics.", "revisions": [ { "version": "v1", "updated": "2014-04-29T14:59:24.000Z" } ], "analyses": { "keywords": [ "adic hodge theory", "selmer complexes", "first part", "second part", "main conjecture" ], "note": { "typesetting": "TeX", "pages": 47, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1404.7386B" } } }