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Analysis seminar: "Gibbs Measures and the Young Bouquet: Work of A. Borodin and G. Olshanski (cont.)"

Friday, June 1, 2012 - 2:00 PM to 3:00 PM
Location:
Korman 245
Event Category:
Colloquium
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Speaker: Robert Boyer, Professor, Department of Mathematics - Drexel University

Abstract: There is a very close relationship between the characters of the infinite symmetric group and the infinite dimensional unitary group $U(\infty)$ which is not captured by attempts to extend the classical Schur-Weyl duality. In a recent paper, Borodin and Olshanski introduce a new object ``the Young bouquet" to explain this connection. I will also relate their work to my \href{http://www.mathjournals.org/jot/1992-028-002/1992-028-002-005.pdf}{1992 paper on infinite dimensional classical groups}.

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