Name: The P-Adic Simpson Correspondence and Hodge-Tate Local Systems
Price: 75.37 GBP
Availability: InStock
Author: Abbes, Ahmed ; Gros, Michel
ISBN: 9783031559136

portada The P-Adic Simpson Correspondence and Hodge-Tate Local Systems

Type

Physical Book

Author

Michel Gros

Ahmed Abbes

Publisher

Springer

Language

Inglés

Pages

443

Format

Paperback

ISBN13

9783031559136

Synopsis "The P-Adic Simpson Correspondence and Hodge-Tate Local Systems"

This book delves into the p-adic Simpson correspondence, its construction, and development. Offering fresh and innovative perspectives on this important topic in algebraic geometry, the text serves a dual purpose: it describes an important tool in p-adic Hodge theory, which has recently attracted significant interest, and also provides a comprehensive resource for researchers. Unique among the books in the existing literature in this field, it combines theoretical advances, novel constructions, and connections to Hodge-Tate local systems.This exposition builds upon the foundation laid by Faltings, the collaborative efforts of the two authors with T. Tsuji, and contributions from other researchers. Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence, whose construction has been taken up in several different ways. Following the approach they initiated with T. Tsuji, the authors develop new features of the p-adic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. First, they address the connection to Hodge-Tate local systems. Then they establish the functoriality of the p-adic Simpson correspondence by proper direct image. Along the way, they expand the scope of their original construction. The book targets a specialist audience interested in the intricate world of p-adic Hodge theory and its applications, algebraic geometry and related areas. Graduate students can use it as a reference or for in-depth study. Mathematicians exploring connections between complex and p-adic geometry will also find it valuable.

Michel Gros

(Author)

View Author's Page

Michel Gros es actualmente el principal autor del calendario lunar. Nacido en una comunidad agrícola, muy pronto se interesó por la ecología y la agricultura ecológica. Fascinado por todo lo relacionado con la alimentación y la salud, en 1975 se estableció como hortelano biológico. De forma paralela, desde los años 80, participa activamente en la realización del calendario lunar.

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