The Laurent phenomenon

Andrei Zelevinsky

Northeastern University

May 11,
refreshments at 3:45pm


A composition of birational maps given by Laurent polynomials need not be given by Laurent polynomials; however, sometimes---quite unexpectedly---it does. In a joint work with Sergey Fomin (E-print math.CO/0104241) a unified treatment of this phenomenon is suggested, covering a large class of applications. In particular, we settle in the affirmative a conjecture of D.Gale and R.Robinson on integrality of generalized Somos sequences, and prove the Laurent property for several multidimensional recurrences, confirming conjectures by J.Propp, N.Elkies, and M.Kleber.

Speaker's Contact Info: andrei(at-sign)

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