Langlands Correspondence for Loop Groups

The Langlands Program was conceived initially as a bridge between Number Theory and Automorphic Representations, and has now expanded into such areas as Geometry and Quantum Field Theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. A new chapter to this grand project is provided in this book. It develops the geometric Langlands Correspondence for Loop Groups, a new approach, from a unique perspective offered by affine Kac-Moody algebras. The theory offers fresh insights into the world of Langlands dualities, with many applications to Representation Theory of Infinite-dimensional Algebras, and Quantum Field Theory. This accessible text builds the theory from scratch, with all necessary concepts defined and the essential results proved along the way. Based on courses taught at Berkeley, the book provides many open problems which could form the basis for future research, and is accessible to advanced undergraduate students and beginning graduate students.

Author: Edward Frenkel
Publisher: Cambridge University Press
Published: 07/01/2007
Pages: 396
Binding Type: Hardcover
Weight: 1.47lbs
Size: 9.19h x 6.24w x 1.00d
ISBN: 9780521854436

About the Author
Frenkel, Edward: - Edward Frenkel is Professor of Mathematics at the University of California, Berkeley