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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

ISBN: 9780521854436
ISBN-10: 0521854431
Format: Hardback
(228mm x 152mm x 25mm)
Pages: 396
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Jun-2007
Country of Publication: United Kingdom

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Author Biography - Edward Frenkel

Edward Frenkel is Professor of Mathematics at the University of California, Berkeley

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