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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra The p-adic Simpson Correspondence and Hodge-Tate Local Systems
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The p-adic Simpson Correspondence and Hodge-Tate Local Systems
Ahmed Abbes, Michel Gros (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.05.2024
Sprache
Englisch
EAN
9783031559136
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Lecture Notes in Mathematics
Sonderedition
Nein
Autor
Ahmed Abbes, Michel Gros
Seitenanzahl
443
Einbandart
Broschiert
Schlagwörter
p-adic Simpson correspondence, p-adic Hodge theory, Dolbeault modules, Higgs bundles, Hodge-Tate local systems, Katz-Oda Higgs field, Faltings topos, Hodge-Tate spectral sequence, p-adic geometry, Langlands program, Shimura varieties
Thema-Inhalt
PBMW - Algebraische Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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