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Representation Theory and Automorphic Forms

Representation Theory and Automorphic Forms

Hardcover

Series: Progress in Mathematics, Book 255

AlgebraGeometry

ISBN10: 0817645055
ISBN13: 9780817645052
Publisher: Springer Nature
Published: Oct 31 2007
Pages: 214
Weight: 0.97
Height: 0.61 Width: 6.58 Depth: 9.51
Language: English

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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Algebra