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ESI Senior Research Fellow Program, spring term 2005
Representation theory of symmetric groups, graphs, universality
Course of advanced graduate lectures by
Professor Anatoly Vershik (Steklov Institute St. Petersburg)
lectures: Tuesday, 15:00 - 17:00, starting an April 19
seminar: tba
Plan:
Part one.
- The foundations of the representation theory of the finite groups.
- Introduction to the theory of symmetric groups and Coxeter groups.
- Combinatorics of Young diagrams and tableaux.
- Irreducible complex representations of symmetric groups.
- Infinite symmetric group and asymptotic theory of representations.
Part two.
- Universal and random graph, group of symmetries.
- Universal metric space. Generosity and Randomness of Urysohn space.
- Group of the isometries, approximations and models.
- Classification of metric spaces with measures and Random matrices.
ESI Senior Research Fellow Program coordinated by Prof. Joachim
Schwermer, Fakultät für Mathematik, Universität Wien,
Nordbergstraße 15, A-1090 Wien (Joachim.Schwermer@univie.ac.at).
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