Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Andrew Baxter**, Rutgers University, baxter{at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Noncommutative Laurent Phenomenon

Speaker: **Vladimir Retakh**, Rutgers University

Date: Thursday, October 8, 2009 5:00pm

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

Abstract:

Let A be an algebra and S is a "small" subset of generators of A. Assume that A is embedded into an algebra B. We say that Laurent phenomenon is valid for the triple S,A,B if any element of A can be expressed in B as a Laurent polynomial of elements from S. Examples of such triples are provided by the theory of commutative cluster algebras A developed by Fomin and Zelevinsky and their followers. In my talk I will construct noncommutative examples of Laurent phenomenon.