The tropical Grassmannian

The tropical Grassmannian, studied by Speyer and Sturmfels, turns out, at least in the cases they study, $(2,n)$ and $(3,6)$ to have strong combinatorial connections with the Kapranov's Chow quotient $G(r,n)//(\mathbb{C}^*)^n$.

Question (Eugene Tevelev and Sean Keel): Try to understand the precise relationship.

(contributed by Sean Keel)

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