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.

  1. The foundations of the representation theory of the finite groups.
  2. Introduction to the theory of symmetric groups and Coxeter groups.
  3. Combinatorics of Young diagrams and tableaux.
  4. Irreducible complex representations of symmetric groups.
  5. Infinite symmetric group and asymptotic theory of representations.
Part two.
  1. Universal and random graph, group of symmetries.
  2. Universal metric space. Generosity and Randomness of Urysohn space.
  3. Group of the isometries, approximations and models.
  4. 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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