14:15-14:35 Uhr Lehrprobe zum Thema The Theorem of Carathéodory (auf Englisch)

ca. 14:45-15:25 Uhr Fachvortrag:

Valuated matroids and regions of the tropical Grassmannian

A valuated matroid is essentially a matroid polytope regularly subdivided into matroid polytopes. In tropical geometry, valuated matroids take the role of linear spaces, hence their importance. The tropical Grassmannian is the space of valuated matroids which are realizable, that is, they arise as tropicalizations of a classical linear space. Certain regions in the tropical Grassmannian have deep connections to certain types of matroid, such as positroids and transversal matroids. In this talk we will discuss three regions of interest: the positive part, the image of the tropical Stiefel map and the tropical symplectic Grassmannian.