Langlands Correspondence for Loop Groups (Hardback)
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Short Description for Langlands Correspondence for Loop Groups The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
- Published: 30 July 2007
- Format: Hardback 396 pages
- ISBN 13: 9780521854436 ISBN 10: 0521854431
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Full description for 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.