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Langlands Correspondence for Loop Groups

ISBN-10: 0521854431

ISBN-13: 9780521854436

Edition: 2007

Authors: Edward Frenkel

List price: $105.00
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Description:

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.
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Book details

List price: $105.00
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 6/28/2007
Binding: Hardcover
Pages: 396
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.496
Language: English

Preface
Local Langlands Correspondence
Vertex algebras
Constructing central elements
Opers and the center for a general Lie algebra
Free field realization
Wakimoto modules
Intertwining operators
Identification of the center with functions on opers
Structure of bg-modules of critical level
Constructing the local Langlands Correspondence
Appendix
References