Título: Oriented matroids and real structures in tropical geometry
Título: Oriented matroids and real structures in tropical geometry
Since the introduction of Viro's combinatorial patchworking in the 70s, various combinatorial techniques have been used in the study of real algebraic varieties. In my talk, I will present "real phase structures on tropical manifolds" as an attempt to generalize these methods. It turns out that these structures are essentially equivalent to oriented matroids, a class of well-studied objects in combinatorics.