Lecturer: Anton Nazarov (Visiting Professor, Saint Petersburg University)Weekday: Wed, FriTime: 09:50-12:15Venue: A3-1-301Zoom: 204 323 0165Password: BIMSAPrerequisiteRepresentation theory of symmetric group, Lie groups and Lie algebras, random matrix theory. Acquaintance with the material from the my previous courses "Asymptotic representation theory and random matrices", "From free fermions t...
PrerequisiteRepresentation theory of symmetric group, Lie groups and Lie algebrasIntroductionIn this course we will review classical invariant theory, discuss Howe duality for classical Lie groups and its extension to Lie superalgebras.We will use the dualities for classical pairs of Lie groups to pose asymptotic questions. We will study representations of these dual pairs in the limit when ran...