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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.'

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530