ENGLISH

Representation Theory and Automorphic Forms

By Toshiyuki Kobayashi , Wilfried Schmid , Jae-Hyun Yang

Book information

Publisher
Birkhäuser
Year
2008
ISBN
0817645055, 9780817645052, 9780817646462
Open Library ID
OL8074882M
Language
english
Format
PDF
Filesize
2 MB (2089598 bytes)
Series
Progress in Mathematics
Edition
1
Pages
216\216
Topic
Mathematics Algebra
Orientation
no
Scanned
no
Time added
2010-02-18 13:16:04

Description

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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