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Verfasst von:Bellaïche, Joël [VerfasserIn]   i
Titel:The eigenbook
Titelzusatz:eigenvarieties, families of Galois representations, p-adic L-functions
Verf.angabe:Joël Bellaïche
Verlagsort:Cham, Switzerland
Verlag:Birkhäuser
E-Jahr:2021
Jahr:[2021]
Umfang:xi, 316 Seiten
Illustrationen:Illustrationen
Gesamttitel/Reihe:Pathways in mathematics
Fussnoten:p und L sind im Titel kursiv geschrieben
ISBN:978-3-030-77262-8
Abstract:- Introduction -- Part I The ‘Eigen’ Construction -- Eigenalgebras -- Eigenvarieties -- Part II Modular Symbols and L-Functions -- Abstract Modular Symbols -- Classical Modular Symbols, Modular Forms, L-functions -- Rigid Analytic Modular Symbols and p-Adic L-functions -- Part III The Eigencurve and its p-Adic L-Functions -- The Eigencurve of Modular Symbols -- p-Adic L-Functions on the Eigencurve -- The Adjoint p-Adic L-Function and the Ramification Locus of the Eigencurve -- Solutions and Hints to Exercises.
 This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For graduate students and newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs. Written in an engaging and educational style, the book also includes exercises and provides their solution.
DOI:doi:10.1007/978-3-030-77263-5
URL:https://zbmath.org/?q=an%3A7359772
 DOI: https://doi.org/10.1007/978-3-030-77263-5
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Online-Ausgabe: Bellaïche, Joël: The Eigenbook. - 1st ed. 2021.. - Cham : Springer International Publishing, 2021. - 1 Online-Ressource(XI, 316 p. 16 illus., 1 illus. in color.)
RVK-Notation:SK 180   i
K10plus-PPN:1772396834
Exemplare:

SignaturQRStandortStatus
UBN/SK 180 B435QR-CodeZweigstelle Neuenheim / Freihandbereich Monographien3D-Planbestellbar
Mediennummer: 10652442

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