000			02210nam a22003498i 4500
001			CR9781316981252
003			UkCbUP
005			20200124160335.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			160715s2017||||enk o ||1 0|eng|d
020			_a9781316981252 (ebook)
020			_z9781107188587 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA247.3 _b.S34 2017
082	0	4	_a512/.32 _223
100	1		_aSchneider, P. _q(Peter), _d1953- _eauthor.
245	1	0	_aGalois representations and (Phi, Gamma)-modules / _cPeter Schneider.
264		1	_aCambridge : _bCambridge University Press, _c2017.
300			_a1 online resource (vii, 148 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v164
500			_aTitle from publisher's bibliographic system (viewed on 12 May 2017).
520			_aUnderstanding Galois representations is one of the central goals of number theory. Around 1990, Fontaine devised a strategy to compare such p-adic Galois representations to seemingly much simpler objects of (semi)linear algebra, the so-called etale (phi, gamma)-modules. This book is the first to provide a detailed and self-contained introduction to this theory. The close connection between the absolute Galois groups of local number fields and local function fields in positive characteristic is established using the recent theory of perfectoid fields and the tilting correspondence. The author works in the general framework of Lubin-Tate extensions of local number fields, and provides an introduction to Lubin-Tate formal groups and to the formalism of ramified Witt vectors. This book will allow graduate students to acquire the necessary basis for solving a research problem in this area, while also offering researchers many of the basic results in one convenient location.
650		0	_aGalois theory.
650		0	_ap-adic groups.
776	0	8	_iPrint version: _z9781107188587
830		0	_aCambridge studies in advanced mathematics ; _v164.
856	4	0	_uhttps://doi.org/10.1017/9781316981252
999			_c522984 _d522982