000			01744nam a22002417a 4500
999			_c54780 _d54780
008			210322b ||||| |||| 00| 0 eng d
020			_a9780521854436
082			_a512.2 _bFRE
100			_aFrenkel, Edward
245			_aLanglands correspondence for loop groups
260			_aCambridge: _bCambridge University Press, _c2007.
300			_axvi, 379 p. : ill. ; _bhb. ; _c24 cm.
365			_aGBP _b74.99
440			_a Cambridge studies in advanced mathematics ; Vol.103
504			_aIncludes bibliographical references and index.
520			_aThe 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.
650			_aLoops (Group theory)
650			_a Vertex algebras
650			_aIntertwining operators
650			_a Wakimoto modules
650			_abg-modules
942			_cTD