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.

The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.

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

Reviews
'This book is well written and will give especially the interested student, an excellent basis in this rapidly developing area of mathematics. For those beyond the level of student it also provides very useful text to follow, and perhaps to participate, in these developments.' Samuel James Patterson, Zentralblatt MATH



Book Information
ISBN 9780521854436
Author Edward Frenkel
Format Hardback
Page Count 396
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 681g
Dimensions(mm) 235mm * 160mm * 25mm