Introduction to Algebras of Chiral Differential Operators

Applications. 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.

Ordinary algebras of differential operators. Applications to representation theory.

Fedor MALIKOV
Jun. 24, 2015 　 2:13:36 　 English
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
Jun. 24, 2015 　 2:14:58 　 English
Algebras of chiral differential operators.

Fedor MALIKOV
Jun. 24, 2015 　 2:21:01 　 English
Applications.

Fedor MALIKOV
Jun. 24, 2015 　 3:26:56 　 English

Details

Year/Term: 2015 / Intensive, First semester

Date: July 21st to July 24th, 2015

Faculty/ Graduate School: Graduate School of Science

Language: English

Instructor name: Fedor MALIKOV（Distinguished Visiting Project Professor, Kyoto University / Professor, University of Southern California）

Place: Room 127, Graduate School of Science Bldg No 3

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