### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Brian Nakamura**, Rutgers University, bnaka {at} math [dot] rutgers [dot] edu
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Noncommutative Laurent phenomenon. A geometric approach.

Speaker: **Vladimir Retakh**, Rutgers University

Date: Thursday, February 21, 2013 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

A composition of birational maps given by Laurent polynomials need not be given by Laurent polynomials. When it does, we talk about the Laurent phenomenon. A large variety of examples of the Laurent phenomenon for commuting variables is supplied by the theory of cluster algebras. Much less is known in the noncommutative case. I will present a number of the noncommutative Laurent phenomenoma of a "geometric origin."

See: http://www.math.rutgers.edu/~bnaka/expmath/