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 22 to 26, 2019

 Monday, July 22, 13:3015:30
 Tuesday, July 23, 10:0012:00
 Wednesday, July 24, 10:0012:00
 Thursday, July 25, 13:3015:30
 Friday, July 26, 13:3015:30
 Venue
 127 Conference Room, Faculty of Science Bldg. #3, Kyoto University
 Title
 Vertex algebras, instanton counting and invariants of 3 and 4 dimensional manifolds
 Abstract

1. Representation theory.
Affine KacMoody algebras. Integrable representations. Characters formulas. Two ways to understand characters  geometric and combinatorial. Lefschetz fix points formula and Brion theorem.
2. Vertex opetator algebras and conformal fields theories.
Characters of representations of vertex algebras.Simplest case minimal models for Virasoro algebra. Conformal blocks and modular functor.Consructions of vertex algebras by reduction or by exstensions.
3. Elements of geometric representation theory.
Vertex algebras and invariants of 4dimensional manifolds.Instanton counting.
4. 3dimensional manifolds and logarithmic theories.
Invariants of 3dimensional manifolds  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.