Representation Theory And Automorphic Forms: 255 - Rilegato

Rilegato

ISBN 10: 0817645055 ISBN 13: 9780817645052

Casa editrice: Birkhauser, 2007

Riassunto

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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Dalla quarta di copertina

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

Contenuti

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.

Dettagli dell?edizione

• Editore: Birkhauser
• Data di pubblicazione: 2007
• ISBN 10: 0817645055
• ISBN 13: 9780817645052
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero edizione: 1
• Numero di pagine: 210
• Redattore: Kobayashi Toshiyuki, Schmid Wilfried, Yang Jae-hyun