Enumeration of Real Conics and Maximal Configurations
  We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in $\RP^n$ is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real. 
Erwan Brugall\'e, Nicolas Puignau
math.AG