03083nam 2200541 450 99646640010331620220530135004.03-030-68506-310.1007/978-3-030-68506-5(CKB)4100000011930338(DE-He213)978-3-030-68506-5(MiAaPQ)EBC6627521(Au-PeEL)EBL6627521(OCoLC)1252429714(PPN)255884737(EXLCZ)99410000001193033820220123d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierRelative trace formulas /Werner Müller, Sug Woo Shin, Nicolas Templier, editors1st ed. 2021.Cham, Switzerland :Springer,[2021]©20211 online resource (XVI, 427 p. 15 illus.)Simons Symposia,2365-95643-030-68505-5 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.Simons Symposia,2365-9564Trace formulasFórmules de traçathubLlibres electrònicsthubTrace formulas.Fórmules de traça512.482Müller Werner1949-Shin Sug WooTemplier NicolasMiAaPQMiAaPQMiAaPQBOOK996466400103316Relative Trace Formulas1905160UNISA