Experimental Mathematics Seminar
Non-commutative Catalan numbers
Location: Hill 705
Date & time: Thursday, 27 October 2016 at 5:00PM - 5:11PM
Vladimir Retakh, Rutgers University : We introduce and study noncommutative Catalan numbers' as Laurent polynomials in free variables and related theory of noncommutative binomial coefficients. We also study their (commutative and noncommutative) specializations, relate them with Garsia-Haiman (q,t)-versions, and establish total positivity of the corresponding Hankel matrices.
This is my work in progress with Arkady Berenstein from Univ. of Oregon.'