Langlands Correspondence for Loop Groups
by Edward Frenkel
Publisher: Cambridge University Press 2007
ISBN/ASIN: 0521854431
ISBN-13: 9780521854436
Number of pages: 393
Description:
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.
Download or read it online for free here:
Download link
(1.9MB, PDF)
Similar books
An Introduction to the Smarandache Functionby Charles Ashbacher - 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.
(10331 views)
The Smarandache Functionby C. Dumitrescu, V. Seleacu - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
(9775 views)
Elliptic Curves over Function Fieldsby Douglas Ulmer - 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.
(9461 views)
Notes on Fermionic Fock Space for Number Theoristsby Greg W. Anderson - The University of Arizona
This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.
(9656 views)