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12 - Introduction to Algebras of Chiral Differential Operators, 2015

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SGU Special Lectures (Representation Theory)

Introduction to Algebras of Chiral Differential Operators

Fedor Malikov
Kyoto University / Distinguished Visiting Project Professor
University of Southern California / Professor

Jul. 21, 22, 23 and 24, 2015
Room127, Graduate School of Science Bldg No 3

Lecture Video

Course Description

We will introduce the theory of algebras of chiral differential operators and describe some applications. 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.