The Laurent phenomenon
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
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)neu.edu
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