\(p\)-adic arithmetic of Hilbert modular forms. (Arithmétique \(p\)-adique des formes de Hilbert.) (French) Zbl 1353.11003

Andreatta, Fabrizio; Bijakowski, Stéphane; Iovita, Adrian; Kassaei, Payman L.; Pilloni, Vincent; Stroh, Benoît; Tian, Yichao; Xiao, Liang

Astérisque 382. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-843-5/pbk). xxii, 266 p. (2016).

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The articles of this volume will be reviewed individually.
Indexed articles:
Kassaei, Payman L., Analytic continuation of overconvergent Hilbert modular forms, 1-48 [Zbl 1407.11063]
Bijakowski, Stéphane, Classicality of Hilbert modular forms, 49-71 [Zbl 1408.11038]
Tian, Yichao; Xiao, Liang, \(p\)-adic cohomology and classicality of overconvergent Hilbert modular forms, 73-162 [Zbl 1423.11091]
Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent, On overconvergent Hilbert modular cusp forms, 163-193 [Zbl 1408.11037]
Pilloni, Vincent; Stroh, Benoît, Overconvergence, ramification and modularity, 195-266 [Zbl 1408.11052]

MSC:

11-06	Proceedings, conferences, collections, etc. pertaining to number theory
11F41	Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces
11F85	\(p\)-adic theory, local fields
11F33	Congruences for modular and \(p\)-adic modular forms
11G18	Arithmetic aspects of modular and Shimura varieties
14G35	Modular and Shimura varieties
00B15	Collections of articles of miscellaneous specific interest