Langlands Correspondence for Loop Groups (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Studies in Advanced Mathematics
Release date:	June 2007
First published:	2007
Authors:	Edward Frenkel
Dimensions:	235 x 160 x 25mm (L x W x T)
Format:	Hardcover
Pages:	396
ISBN-13:	978-0-521-85443-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	0-521-85443-1
Barcode:	9780521854436

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