Groupe de travail de Géométrie Tropicale
07 Janvier 2009, 10h30 salle 7D01
How to draw tropical planes
Résumé :
The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in n-1 dimnensional tropical projective space. We study these parameter spaces and we compute them explicitly for $n \leq 7$. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures.
This is joint work with Sven Herrmann, Michael Joswig and Bernd Sturmfels.