Top Global Course Special Lectures by Prof. Boris Feigin
Top Global Course Special Lectures by Prof. Boris Feigin (Kyoto University / Landau Institute for Theoretical Physics) will take place as follows:
 Course Title
 Top Global Course Special Lectures 2
 Date & Time
 July 23 to 26, 2018 (4 lectures)

 Monday, July 23, 14:0017:00
 Tuesday, July 24, 14:0017:00
 Wednesday, July 25, 15:0017:00
 Thursday, July 26, 15:0017:00
 Venue
 127 Conference room, Faculty of Science Bldg. #3, Kyoto University
 Title
 Vertex Operator Algebras and Integrable Systems
 Abstract
 First I plan to discuss the known ways of constructing vertex operator algebras. We can use "screenings"  it means that we can find the vertex operator subalgebras into the known ones. Opposite idea  extensions of VOA. In this case we are trying to embed the algebra into the bigger. I present the basic examples of these constructions. We discuss Walgebras and their applications. Vertex algebras produce Dmodules on the interesting geometric objects. So we will talk about Hitchin systems and Dmodules appearing in geometric Langlands  usual and quantum.

After that I explain what to do if we have the system of screening corresponding to the affine root system. They do not define vertex algebra but something which has not good name. The object which we get by this way is rather close to the nonconformal field theories and contains the integrable system  commutative algebra of KdV type.
 Language
 English
 Note
 This series of lectures will be videorecorded and made available online.
Please note that anyone in the front rows of the room can be captured by a video camera.