**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

**Collections of Problems on Smarandache Notions**

by

**Charles Ashbacher**-

**Erhus University Press**

This text deals with some advanced consequences of the Smarandache function. The reading of this book is a form of mindjoining, where the author tries to create the opportunity for a shared experience of an adventure.

(

**13432**views)

**Lectures On Irregularities Of Distribution**

by

**Wolfgang M. Schmidt**-

**Tata Institute of Fundamental Research**

The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.

(

**5833**views)

**Modular Forms, Hecke Operators, and Modular Abelian Varieties**

by

**Kenneth A. Ribet, William A. Stein**-

**University of Washington**

Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...

(

**6248**views)

**Notes on Fermionic Fock Space for Number Theorists**

by

**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.

(

**8224**views)