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Titlebook: Relative Trace Formulas; Werner Müller,Sug Woo Shin,Nicolas Templier Conference proceedings 2021 The Editor(s) (if applicable) and The Aut

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书目名称Relative Trace Formulas
编辑Werner Müller,Sug Woo Shin,Nicolas Templier
视频video
概述The trace formula is a fundamental tool in the modern theory of automorphic forms, providing deep connections with various branches of mathematics.Contributions are a synthesis of current knowledge an
丛书名称Simons Symposia
图书封面Titlebook: Relative Trace Formulas;  Werner Müller,Sug Woo Shin,Nicolas Templier Conference proceedings 2021 The Editor(s) (if applicable) and The Aut
描述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.
出版日期Conference proceedings 2021
关键词L-functions; automorphic forms; Simons Symposia; trace formula; automorphic representations; theta corres
版次1
doihttps://doi.org/10.1007/978-3-030-68506-5
isbn_softcover978-3-030-68508-9
isbn_ebook978-3-030-68506-5Series ISSN 2365-9564 Series E-ISSN 2365-9572
issn_series 2365-9564
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Archimedean Theory and ,-Factors for the Asai Rankin-Selberg Integrals,ar, we establish the relevant local functional equation at Archimedean places and prove the equality between Rankin-Selberg’s and Langlands-Shahidi’s .-factors at every place. Our proofs work uniformly for any characteristic zero local field and use as only input the global functional equation and a
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