Langlands Correspondence for Loop Groups by Edward Frenkel
Publisher: Cambridge University Press 2007
ISBN/ASIN: 0521854431
ISBN-13: 9780521854436
Number of pages: 393
This book provides an 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.
Mathematics Pure Mathematics Number Theory