Langlands Correspondence for Loop Groups

Large book cover: Langlands Correspondence for Loop Groups

Langlands Correspondence for Loop Groups

Publisher: Cambridge University Press
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.

Home page url

Download or read it online for free here:
Download link
(1.9MB, PDF)

Similar books

Book cover: Introduction to Shimura VarietiesIntroduction to Shimura Varieties
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
Book cover: Elliptic Curves over Function FieldsElliptic Curves over Function Fields
by - arXiv
The focus is on elliptic curves over function fields over finite fields. We explain the main classical results on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.
Book cover: Topics in the Theory of Quadratic ResiduesTopics in the Theory of Quadratic Residues
by - arXiv
Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...
Book cover: An Introduction to the Smarandache FunctionAn Introduction to the Smarandache Function
by - Erhus Univ Pr
In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory, which consequences encompass many areas of mathematics.The purpose of this text is to examine some of those consequences.