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＜E-Book＞
Relative Trace Formulas / edited by Werner Müller, Sug Woo Shin, Nicolas Templier
(Simons Symposia. ISSN:23659572)

Edition	1st ed. 2021.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2021
Size	XVI, 427 p. 15 illus : online resource
Authors	Müller, Werner editor Shin, Sug Woo editor Templier, Nicolas editor SpringerLink (Online service)
Subjects	LCSH:Number theory LCSH:Topological groups LCSH:Lie groups LCSH:Algebraic geometry FREE:Number Theory FREE:Topological Groups and Lie Groups FREE:Algebraic Geometry
Notes	Archimedean theory and ǫ-factors for the Asai Rankin-Selberg integrals -- The relative trace formula in analytic number theory -- Dimensions of automorphic representations, L-functions and liftings -- Relative character identities and theta correspondence -- Incoherent definite spaces and Shimura varieties -- Shimura varieties for unitary groups and the doubling method -- Bessel decents and branching problems -- Distinguished representations of SO(n + 1, 1)×SO(n, 1), periods and branching laws -- Explicit decomposition of certain induced representations of the general linear group -- Mixed arithmetic theta lifting for unitary groups -- Twists of GL(3) L-functions -- Modular forms on G2 and their standard L-functions A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative trace formulas in relation to special values of L-functions, integral representations, arithmetic cycles, theta correspondence and branching laws. The first volume focused on Arthur’s trace formula, and the second volume focused on methods from algebraic geometry and representation theory. The three proceedings volumes have provided a snapshot of some of the current research, in the hope of stimulating further research on these topics. The collegial format of the symposia allowed a homogeneous set of experts to isolate key difficulties going forward and to collectively assess the feasibility of diverse approaches HTTP:URL=https://doi.org/10.1007/978-3-030-68506-5

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