Asymptotic representation theory lectures by G. Olshanski (in Russian)

Leonid Petrov

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• Fall 2009
  • Characters of the infinite-dimensional unitary group
  • Shifted symmetric functions
  • Total nonnegativity
  • Factor representations of infinite-dimensional unitary group
  • Point processes related to the unitary groups
• Spring 2010
  • Schur-Weyl duality
  • Robinson-Schensted correspondence
  • Plancherel measures, difference operators
  • Orbital HCIZ integrals
  • Classification of ergodic central measures on infinite-dimensional Hermitian matrices