Relative trace formulas

by M?uller, Werner Shin, Sug Woo Templier, Nicolas

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Title Statements

Full title :Relative trace formulas / Werner Müller, Sug Woo Shin, Nicolas Templier, editors.

Summary

"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 Arthurs 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."--Page 4 of cover

Edition Statements

Publication Date:2021

Publication Statements

Publisher(s):Springer
Place of Publication:Cham, Switzerland
Language:eng
Publication Date:2021

The Physical Object

Description:xvi, 427 pages : : illustrations ; : 25 cm

Edition Identifiers

ISBN:9783030685058, 3030685055
oclc:on1228314679
LC Classification:QA243
Dewey Decimal:512.9/44

Archimedean theory and €-factors for the Asai Rankin-Selberg integrals / Raphaël Beuzart-Plessis -- The relative trace formula in analytic number theory / Valentin Blomer -- Dimensions of automorphic representations, L-functions and liftings / Solomon Friedberg and David Ginzburg -- Relative character identities and theta correspondence / Wee Teck Gan and Xiaolei Wan -- Incoherent definite spaces and Shimura varieties / Benedict H. Gross -- Shimura varieties for unitary groups and the doubling method / Michael Harris -- Bessel decents and branching problems / Dihua Jiang and Lei Zhang -- Distinguished representations of SO(n + 1, 1) x SO(n, 1), periods and branching laws / Toshiyuki Kobayashi and Birgit Speh -- Explicit decomposition of certain induced representations of the general linear group / Erez Lapid -- Mixed arithmetic theta lifting for unitary groups / Yifeng Liu -- Twists of GL(3) L-functions / Ritabrata Munshi -- Modular forms on G2 and their standard L-functions / Aaron Pollack.