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# Lehrprobe und Fachvortrag Jorge Olarte: Valuated matroids and regions of the tropical Grassmannian

11.08.2021 | 14:15 s.t. - 15:25

14:15-14:35 Uhr Lehrprobe zum Thema:

The Theorem of Carathéodory (auf Englisch)

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

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.

14:15-14:35 Uhr Lehrprobe zum Thema:

The Theorem of Carathéodory (auf Englisch)

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

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.

### Zeit & Ort

11.08.2021 | 14:15 s.t. - 15:25

Die Veranstaltung wird virtuell via Webex-Meetings stattfinden

https://fu-berlin.webex.com/fu-berlin/j.php?MTID=m1ce0f308fc47db6efd6567ee88a715ca
Meeting-Kennnummer (Zugriffscode): 188 591 5127
Meeting Passwort: Villa