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Science/Engineering Representation Theory and Automorphic Forms

Posted on 2010-03-15




Name:Science/Engineering Representation Theory and Automorphic Forms
ASIN/ISBN:0817645055
Language:English
File size:1.7 Mb
Publish Date: 2007-10-31
ISBN: 0817645055
Pages: 216 pages
File Type: PDF
File Size: 1,7 MB
Other Info: Birkhäuser Boston
   Science/Engineering Representation Theory and Automorphic Forms

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Toshiyuki Kobayashi, Wilfried Schmid, Jae-Hyun Yang, "Representation Theory and Automorphic Forms"

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 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.

The volume also branches off from representation theory into self-dual representations, and includes work from the non-standard geometric view of visible action on complex manifolds towards multiplicity-free representation theory.

Both graduate students and researchers will find inspiration in this volume.

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