Fock-Goncharov conjecture and polyhedral cones for $U\subset S{L}_n$ and base affine space $S{L}_n/U$

Timothy Magee

I prove several conjectures of \cite{GHKK} on the cluster structure of $S{L}_n$, which in particular imply the full Fock-Goncharov conjecture for the open double Bruhat cell $\mathca…