Representation Theory and Automorphic Forms

2008
ISBN: 978-0-8176-4505-2
Verlag: Birkhäuser Boston

Buch, Englisch, Band 255, 214 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 506 g

Reihe: Progress in Mathematics

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. Representation theory relates to number theory through Langlands’ conjecture, which illuminates the deep properties of primes in number fields. The Langlands program is further analyzed in this work through automorphic functions and automorphic distributions. The relation between representation theory and differential geometry is explored via the Dirac cohomology of Index theory. Also discussed are the subjects of modular forms and harmonic analysis. In addition, the volume branches off from representation theory into self-dual representations, and includes work from the non-standard geometric view of viable action on complex manifolds towards multiplicity-free representation theory.

Zielgruppe

Research

Autoren/Hrsg.

Kobayashi, Toshiyuki

Yang, Jae-Hyun

Schmid, Wilfried

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.