Cambridge Studies in Advanced Mathematics: Langlands Correspondence for Loop Groups Series Number 103 (Hardback)
  • Cambridge Studies in Advanced Mathematics: Langlands Correspondence for Loop Groups Series Number 103 (Hardback)
zoom

Cambridge Studies in Advanced Mathematics: Langlands Correspondence for Loop Groups Series Number 103 (Hardback)

(author)
£69.99
Hardback 396 Pages / Published: 28/06/2007
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Cambridge University Press
ISBN: 9780521854436
Number of pages: 396
Weight: 681 g
Dimensions: 235 x 160 x 25 mm


MEDIA 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
"This book provides and excellent detailed review of an important aspect of the geometric Langlands program, namely, the role of representation theory of affine Kac-Moody algebras (or loop algebras). It provides clear and insightful introductions to such notions as vertex algebras, the Langlands dual group, connections on the punctured disc, representation theory of loop algebras, etc., with many examples... a valuable resource for students and researchers in related fields. David Ben-Zvi, Mathematical Reviews

You may also be interested in...

Reviews

Please sign in to write a review

Your review has been submitted successfully.