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Galois Representations and (Phi, Gamma)-Modules

Schneider, Peter
Innbundet / 2017 / Engelsk

Produktdetaljer

ISBN
9781107188587
Publisert
2017-04-20
Utgiver
Vendor
Cambridge University Press
Vekt
360 gr
Høyde
235 mm
Bredde
158 mm
Dybde
14 mm
Aldersnivå
05, UU, UP
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
156

Forfatter
Schneider, Peter

Biographical note

Peter Schneider is a professor in the Mathematical Institute at the University of Munster. His research interests lie within the Langlands program, which relates Galois representations to representations of p-adic reductive groups, as well as in number theory and in representation theory. He is the author of Nonarchimedean Functional Analysis (2001), p-Adic Lie Groups (2011) and Modular Representation Theory of Finite Groups (2012), and he is a member of the National German Academy of Science Leopoldina and of the Academia Europaea.

Galois Representations and (Phi, Gamma)-Modules

Schneider, Peter
Innbundet / 2017 / Engelsk
Schneider, Peter
Innbundet / 2017 / Engelsk
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'Much of this material is available in the literature, but it has never been presented so cleanly and concisely in a single place before ... In this book, Schneider has done a remarkable job of displaying the beauty and power of perfectoid theoretic techniques. His text is sure to occupy and satisfy the attention of students and researchers working on Galois representations, or those who suspect that perfectoid-style techniques might be relevant for their work. We recommend Schneider's text to anyone with even a passing interest in the perfectoid revolution initiated by Scholze.' Cameron Franc, Mathematical Reviews<br />'Much of this material is available in the literature, but it has never been presented so cleanly and concisely in a single place before ... In this book, Schneider has done a remarkable job of displaying the beauty and power of perfectoid theoretic techniques. His text is sure to occupy and satisfy the attention of students and researchers working on Galois representations, or those who suspect that perfectoid-style techniques might be relevant for their work. We recommend Schneider's text to anyone with even a passing interest in the perfectoid revolution initiated by Scholze.' Cameron Franc, Mathematical Reviews

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.
Les mer
The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.
Les mer
Preface; Overview; 1. Relevant constructions; 2. ( L, L-modules); 3. An equivalence of categories; 4. Further topics; References; Notation; Subject index.
A detailed and self-contained introduction to a key part of local number theory, ideal for graduate students and researchers.

Relaterte produkter

'Much of this material is available in the literature, but it has never been presented so cleanly and concisely in a single place before ... In this book, Schneider has done a remarkable job of displaying the beauty and power of perfectoid theoretic techniques. His text is sure to occupy and satisfy the attention of students and researchers working on Galois representations, or those who suspect that perfectoid-style techniques might be relevant for their work. We recommend Schneider's text to anyone with even a passing interest in the perfectoid revolution initiated by Scholze.' Cameron Franc, Mathematical Reviews<br />'Much of this material is available in the literature, but it has never been presented so cleanly and concisely in a single place before ... In this book, Schneider has done a remarkable job of displaying the beauty and power of perfectoid theoretic techniques. His text is sure to occupy and satisfy the attention of students and researchers working on Galois representations, or those who suspect that perfectoid-style techniques might be relevant for their work. We recommend Schneider's text to anyone with even a passing interest in the perfectoid revolution initiated by Scholze.' Cameron Franc, Mathematical Reviews

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.
Les mer
The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.
Les mer
Preface; Overview; 1. Relevant constructions; 2. ( L, L-modules); 3. An equivalence of categories; 4. Further topics; References; Notation; Subject index.
A detailed and self-contained introduction to a key part of local number theory, ideal for graduate students and researchers.

Produktdetaljer

ISBN
9781107188587
Publisert
2017-04-20
Utgiver
Vendor
Cambridge University Press
Vekt
360 gr
Høyde
235 mm
Bredde
158 mm
Dybde
14 mm
Aldersnivå
05, UU, UP
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
156

Forfatter
Schneider, Peter

Biographical note

Peter Schneider is a professor in the Mathematical Institute at the University of Munster. His research interests lie within the Langlands program, which relates Galois representations to representations of p-adic reductive groups, as well as in number theory and in representation theory. He is the author of Nonarchimedean Functional Analysis (2001), p-Adic Lie Groups (2011) and Modular Representation Theory of Finite Groups (2012), and he is a member of the National German Academy of Science Leopoldina and of the Academia Europaea.

Relaterte produkter