Relative trace formulas

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

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

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.

Edition Statements

Publication Date:©2021

Publication Statements

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

The Physical Object

Description:1 online resource (438 pages)

Edition Identifiers

ISBN:9783030685065, 3030685063
DOI:10.1007/978-3-030-68506-5
oclc:on1252429714
LC Classification:QA243
Dewey Decimal:512.9/44

Archimedean theory and o-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.