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Galois representations and (Phi, Gam...

Schneider, P. (1953-)

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Galois representations and (Phi, Gamma)-modules

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Galois representations and (Phi, Gamma)-modules/ Peter Schneider.
作者:	Schneider, P.
出版者:	Cambridge :Cambridge University Press, : 2017.,
面頁冊數:	vii, 148 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 12 May 2017).
標題:	Galois theory. -
電子資源:	https://doi.org/10.1017/9781316981252
ISBN:	9781316981252

Galois representations and (Phi, Gamma)-modules
Schneider, P.1953-

Galois representations and (Phi, Gamma)-modules[electronic resource] /Peter Schneider. - Cambridge :Cambridge University Press,2017. - vii, 148 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;164. - Cambridge studies in advanced mathematics ;164..

Title from publisher's bibliographic system (viewed on 12 May 2017).

Understanding 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.

ISBN: 9781316981252Subjects--Topical Terms:

523821
Galois theory.

LC Class. No.: QA247.3 / .S34 2017

Dewey Class. No.: 512.32

Galois representations and (Phi, Gamma)-modules
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500 $a Title from publisher's bibliographic system (viewed on 12 May 2017).
520 $a Understanding 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 $a Galois theory. $3 523821
650 0 $a p-adic groups. $3 560910
830 0 $a Cambridge studies in advanced mathematics ; $v 164. $3 3470677
856 4 0 $u https://doi.org/10.1017/9781316981252