Tropical Fano schemes

The classical Fano scheme $F_d(X)$ of a variety X parametrises $d$-dimensional linear spaces contained in X. In this talk I am going to define the tropical analogue of the Fano scheme $F_d(tropX)$ and I will show its relation with the tropicalization $trop{F}_d(X)$ of the classical Fano scheme. In particular I will focus on the tropical Fano schemes of tropicalized linear spaces and tropicalized toric varieties.