Galois representations and (Phi, Gamma)modules [EBook] / Peter Schneider.
Galois representations and (Phi, Gamma)modules [EBook] / Peter Schneider.
Understanding Galois representations is one of the central goals of number theory. Around 1990, Fontaine devised a strategy to compare such padic Galois representations to seemingly much simpler objects of (semi)linear algebra, the socalled etale (phi, gamma)modules. This book is the first to pro...
Personal Name(s):  Schneider, P., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2017

Physical Description: 
1 online resource (vii, 148 pages) 
Note: 
englisch 
ISBN: 
9781107188587 9781316981252 
Series Title: 
Cambridge studies in advanced mathematics ;
164 
Subject (LOC):  
Full Text 
Understanding Galois representations is one of the central goals of number theory. Around 1990, Fontaine devised a strategy to compare such padic Galois representations to seemingly much simpler objects of (semi)linear algebra, the socalled etale (phi, gamma)modules. This book is the first to provide a detailed and selfcontained 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 LubinTate extensions of local number fields, and provides an introduction to LubinTate 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. 