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String Cones and Cluster Varieties

By Bea Schumann

Appears in collection : Combinatorics and Arithmetic for Physics: special days

We study defining inequalities of string cones via a potential function on a reduced double Bruhat cell. We give a necessary criterion for the potential function to provide a minimal set of inequalities via tropicalization and conjecture an equivalence. This is based on joint work with Gleb Koshevoy.

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