Representation Theory and Mathematical Physics: Conference in Honor of Gregg Zuckerman's 60th Birthday October 24-27, 2009 Yale University
Jeffrey Adams, Bong Lian, Siddartha Sahi (ed.)
This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role of mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry
Категории:
Година:
2011
Издателство:
Amer Mathematical Society
Език:
english
Страници:
404
ISBN 10:
0821852469
ISBN 13:
9780821852460
Серия:
Contemporary Mathematics 557
Файл:
PDF, 2.54 MB
IPFS:
,
english, 2011