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Cluster varieties, amplitude symbols, and mutation invariants.

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KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

Cluster varities of Fock-Goncharov are varieties with a toric atlas constructed from a seed torus and a combinatorial process called mutation. The Grassmannian Gr(4,n) has structure of a cluster variety and also encodes the kinematic space of some flavors of n particle N=4 super Yang-Mills theory. I will breifly recall how cluster monomials appear as amplitude symbols and as cannonical basis elements when the Grassmannian is of finite mutation type (n

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