Galois representations and (Phi, Gamma)-modules:
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 pro...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
164 |
| Links: | https://doi.org/10.1017/9781316981252 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (vii, 148 Seiten) |
| ISBN: | 9781316981252 |
Internformat
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| 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. | ||
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| indexdate | 2025-05-15T09:21:36Z |
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| spelling | Schneider, P. 1953- Galois representations and (Phi, Gamma)-modules Peter Schneider Cambridge Cambridge University Press 2017 1 Online-Ressource (vii, 148 Seiten) txt c cr Cambridge studies in advanced mathematics 164 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. Erscheint auch als Druck-Ausgabe 9781107188587 |
| spellingShingle | Schneider, P. 1953- Galois representations and (Phi, Gamma)-modules |
| title | Galois representations and (Phi, Gamma)-modules |
| title_auth | Galois representations and (Phi, Gamma)-modules |
| title_exact_search | Galois representations and (Phi, Gamma)-modules |
| title_full | Galois representations and (Phi, Gamma)-modules Peter Schneider |
| title_fullStr | Galois representations and (Phi, Gamma)-modules Peter Schneider |
| title_full_unstemmed | Galois representations and (Phi, Gamma)-modules Peter Schneider |
| title_short | Galois representations and (Phi, Gamma)-modules |
| title_sort | galois representations and phi gamma modules |
| work_keys_str_mv | AT schneiderp galoisrepresentationsandphigammamodules |