Introduction to Algebras of Chiral Differential Operators

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. Fedor MALIKOV

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.

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