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＜電子ブック＞
Representation Theory and Automorphic Forms / edited by Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang
(Progress in Mathematics. ISSN:2296505X ; 255)

版	1st ed. 2008.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2008
本文言語	英語
大きさ	VIII, 214 p : online resource
著者標目	Kobayashi, Toshiyuki editor Schmid, Wilfried editor Yang, Jae-Hyun editor SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Number theory LCSH:Geometry, Differential LCSH:Algebraic geometry FREE:Algebra FREE:Number Theory FREE:Differential Geometry FREE:Algebraic Geometry
一般注記	Irreducibility and Cuspidality -- On Liftings of Holomorphic Modular Forms -- Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs -- The Rankin–Selberg Method for Automorphic Distributions -- Langlands Functoriality Conjecture and Number Theory -- Discriminant of Certain K3 Surfaces This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their association with number theory and differential geometry. Representation theory relates to number theory through the Langlands program, which conjecturally connects algebraic extensions of number fields to automorphic representations and L-functions. These are the subject of several of the papers. Multiplicity-free representations constitute another subject, which is approached geometrically via the notion of visible group actions on complex manifolds. Both graduate students and researchers will find inspiration in this volume. Contributors: T. Ikeda, T. Kobayashi, S. Miller, D. Ramakrishnan, W. Schmid, F. Shahidi, K. Yoshikawa HTTP:URL=https://doi.org/10.1007/978-0-8176-4646-2

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