3 problems

Let $L_1,L_2,L_3,L_4$ be lattices in $\mathbb{C}((t))^n$, and let $i_1,i_2,i_3,i_4$ be nonnegative integers with sum $n$. Let $f^t_{a,b}(L,M)$ denote the binary tropical determinan…

Let $L_1,\ldots,L_k$ be lattices in $\mathbb{C}((t))^n$, and let $i_1,\ldots,i_k$ be nonnegative integers with sum $n$. Let $f^t_{i_1,\ldots,i_k}(L_1,\ldots,L_k)$ be the tropical d…

Let $L,M,N$ be lattices in $\mathbb{C}((t))^n$, and let $i,j,k$ be nonnegative integers with $i+j+k=n$. For lattices $L_1,\ldots,L_r$, define the tropical determinantal valuation…