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On the conjectures of Gross and Prasad. I. (Sur les conjectures de Gross et Prasad. I.) (French, English) Zbl 1257.22001

Astérisque 346. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-348-5/pbk). xi, 318 p. (2012).

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The articles of this volume will be reviewed individually. For Part II see [Zbl 1257.22002].
Indexed articles:
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra, Symplectic local root numbers, central critical \(L\)-values, and restriction problems in the representation theory of classical groups, 1-109 [Zbl 1280.22019]
Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra, Restrictions of representations of classical groups: examples, 111-170 [Zbl 1279.22023]
Waldspurger, Jean-Loup, An integral formula related to the local Gross-Prasad conjecture. II: Extension to tempered representations, 171-312 [Zbl 1290.22012]
Waldspurger, Jean-Loup, A variant of a result by Aizenbud, Gourevitch, Rallis and Schiffmann, 313-318 [Zbl 1308.22008]

MSC:

22-06 Proceedings, conferences, collections, etc. pertaining to topological groups
22E50 Representations of Lie and linear algebraic groups over local fields
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
20G05 Representation theory for linear algebraic groups
11F70 Representation-theoretic methods; automorphic representations over local and global fields
11R39 Langlands-Weil conjectures, nonabelian class field theory
11S37 Langlands-Weil conjectures, nonabelian class field theory
00B15 Collections of articles of miscellaneous specific interest

Citations:

Zbl 1257.22002
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