β Scribed by Dinakar Ramakrishnan (auth.), Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang (eds.)
No coin nor oath required. For personal study only.
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
Front Matter....Pages I-VIII
Irreducibility and Cuspidality....Pages 1-27
On Liftings of Holomorphic Modular Forms....Pages 29-44
Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs....Pages 45-109
The RankinβSelberg Method for Automorphic Distributions....Pages 111-150
Langlands Functoriality Conjecture and Number Theory....Pages 151-173
Discriminant of Certain K3 Surfaces....Pages 175-210
Algebra; Number Theory; Differential Geometry; Algebraic Geometry
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<P>This volume uses a unified approach to 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 g
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