Tutte seminar - Ian GouldenExport this event to calendar

Friday, May 15, 2009 — 3:30 PM to 4:30 PM EDT

Kerov's character polynomials and permutations

Speaker: Ian Goulden
Affiliation: University of Waterloo
Room: Mathematics & Computer Building (MC) 5158

Abstract:

Kerov's character polynomials give an expression for a particular scaling of irreducible characters of the symmetric group, as a polynomial in the free cumulants of the corresponding Young diagram. These polynomials are particularly convenient for determining asymptotics of the corresponding characters. The coefficients have long been known to be integers, and conjectured to be positive. A recent proof of this positivity has recently been announced by Dolega, Feray and Sniady, in which they identify the coefficients combinatorially, as the number of permutations subject to specified properties. This talk is intended to be expository, providing the necessary background to understand the combinatorial significance of characters, free cumulants and these polynomials.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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