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

Lecture 1 Boris FEIGIN

Course Description
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 operator algebras and conformal fields theories. Characters of representations of vertex algebras.Simplest case -minimal models for Virasoro algebra. Conformal blocks and modular functor. Constructions of vertex algebras by reduction or by extensions.
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

講義詳細

年度・期
2019年度・前期集中
開催日
2019年7月22日 から 7月26日
開講部局名
理学研究科
使用言語
英語
教員/講師名
Boris FEIGIN(Distinguished Visiting Professor,Kyoto University / Leading Researcher, Landau Institute for Theoretical Physics)
開催場所
127 Conference Room, Faculty of Science Bldg No 3
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