Representation Theory and Automorphic Forms (eBook, PDF)

Redaktion: Kobayashi, Toshiyuki; Yang, Jae-Hyun; Schmid, Wilfried

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 214
• Erscheinungstermin: 10. Oktober 2007
• Englisch
• ISBN-13: 9780817646462
• Artikelnr.: 37348574

Autorenporträt

Toshiyuki Kobayashi, Kyoto University, Japan / Wilfried Schmid, Harvard University, Cambridge, MA, USA / Jae-Hyun Yang, Inha University, Incheon, Korea

Inhaltsangabe

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.