Title: Cluster Polylogarithms and Scattering Amplitudes
Speaker: Marcus Spradlin
Date: Tuesday, November 12, 2013
Time: 1:00pm – 2:00pm
Place: Lecture Hall 102, Simons Center
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Abstract: I will define cluster polylogarithms and discuss their properties. Roughly speaking, a cluster polylogarithm on a cluster algebra A is a linear combination of polylogarithm functions Li_k(-x) where x is a cluster X-coordinate on A. Scattering amplitudes of n particles in maximally supersymmetric gauge theory are functions on the cluster Poisson variety Conf_n(P^3) and are believed to be cluster polylogarithms on the associated Gr(4,n) cluster algebra. I will review currently known examples and discuss their structure, in particular the deep connection between the structure of the amplitude and the Poisson structure on Conf_n(P^3).