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.
Progress in Mathematics Volume 255
Series Editors Hyman Bass Joseph Oesterl´e Alan Weinstein
Representation Theory and Automorphic Forms Toshiyuki Kobayashi Wilfried Schmid Jae-Hyun Yang Editors
Birkh¨auser Boston • Basel • Berlin
Toshiyuki Kobayashi RIMS, Kyoto University Sakyo-ku, Kyoto, 606-8502 Japan
[email protected]
Wilfried Schmid Department of Mathematics Harvard University Cambridge, MA 02138 U.S.A.
[email protected]
Jae-Hyun Yang Department of Mathematics In