A tropical version of Fano schemes

Abstract:  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 a tropical analogue of the Fano
scheme $F_d( trop X)$ 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 version of Fano 
schemes of tropicalized linear spaces and tropicalized  
toric varieties.