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Langlands Correspondence for Loop Groups

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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…    
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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