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Langlands Correspondence for Loop Groups Hardback: 103 (Cambridge Studies in Advanced Mathematics, Series Number 103) - Hardcover
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Local geometric Langlands Correspondence is a new area of mathematical physics developed by the author and others in the last 20 years. This text for advanced undergraduate students and graduate students, builds the theory from scratch, defines all necessary concepts and proves the essential results along the way.
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'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
Biografía del autor:
Edward Frenkel is Professor of Mathematics at the University of California, Berkeley
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- VerlagCambridge University Press
- Erscheinungsdatum2007
- ISBN 10 0521854431
- ISBN 13 9780521854436
- EinbandTapa dura
- Anzahl der Seiten396
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Langlands Correspondence for Loop Groups
Verlag:
Cambridge University Press
(2007)
ISBN 10: 0521854431
ISBN 13: 9780521854436
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780521854436
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