Representation theory and automorphic forms

Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang, editors

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.

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[目次]

  • Introduction.- Ramakrishnan, D.: Irreducibility and Cuspidality.-Ikeda, T.: On Liftings of Holomorphic Modular Forms.-Kobayashi, T.: Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs.-Miller, S., Schmid, W.: The Rankin--Selberg Method for Automorphic Distributions.- Shahidi, F.: Langlands Functoriality Conjecture and Number Theory.- Yoshikawa, K.: Discriminant of certain K3 surfaces.- References.- Index.

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この本の情報

書名 Representation theory and automorphic forms
著作者等 Schmid, Wilfried
Yang, Chae-hyŏn
小林 俊行
Yang Jae Hyun
Kobayashi Toshiyuki
シリーズ名 Progress in mathematics
出版元 Birkhäuser
刊行年月 c2008
ページ数 viii, 210 p.
大きさ 24 cm
ISBN 9780817645052
NCID BA83838565
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言語 英語
出版国 アメリカ合衆国
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