Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
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
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."