Relative Trace Formulas
Series: Simons Symposia;
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Product details:
- Edition number 1st ed. 2021
- Publisher Springer International Publishing
- Date of Publication 20 May 2022
- Number of Volumes 1 pieces, Book
- ISBN 9783030685089
- Binding Paperback
- See also 9783030685058
- No. of pages427 pages
- Size 235x155 mm
- Weight 676 g
- Language English
- Illustrations XVI, 427 p. 15 illus. Illustrations, black & white 263
Categories
Long description:
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.
MoreTable of Contents:
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.
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