Vertex algebras, instanton counting and invariants of 3 and 4 dimensional manifolds

Date: 
2019/07/22 Mon 13:30 - 15:30
2019/07/23 Tue 10:00 - 12:00
2019/07/24 Wed 10:00 - 12:00
2019/07/25 Thu 13:30 - 15:30
2019/07/26 Fri 13:30 - 15:30
Room: 
127 Conference Room, Building No.3
Speaker: 
Boris Feigin
Affiliation: 
Kyoto University / Landau Institute for Theoretical Physics
Abstract: 

1. Representation theory.
Affine Kac-Moody 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 4-dimensional manifolds.Instanton counting.
4. 3-dimensional manifolds and logarithmic theories.
Invariants of 3-dimensional manifolds

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