Introduction to Algebras of Chiral Differential Operators

Lecture 1 Fedor Malikov (Kyoto University / Distinguished Visiting Project Professor, University of Southern California / Professor)

In these lectures we shall cover the following.

(1) Ordinary algebras of differential operators. Applications to representation theory.

(2) The Beilinson-Drinfeld categories: Lie* algebras, coisson algebras, chiral algebras. The purpose of this part will be to establish a link to the conventional vertex algebra theory.

(3) Algebras of chiral differential operators.

(4) Applications.