[Facets-of-complexity] Invitation and link to Monday Lecture - February 8th 2021 - online via zoom

[Ita Brunke <i.brunke@inf.fu-berlin.de>]

You are cordially invited to our next Monday Lecture. Next Monday Lecture, there will again be the hearing of one of our PhD candidates.

We will have one talk this time only. Talk will be 30 min. 15 min discussion.
All Monday Lectures and Colloquia of winter term 2020/21 will be given online via zoom.

You may find valid Invitation for zoom throughout all winter term here:
http://www.facetsofcomplexity.de/monday/WS-2020-21/index.html

Invitation link:
https://tu-berlin.zoom.us/j/69716124232?pwd=dzFlcTFHMmFXRTE5QmZLaEV5N0FRUT09

Monday Lecture will be on February 8th 2021 at 14:15 h !

Online via:
Zoom - Invitation

Time: Monday, February 8th - 14:15 h

Lecture: Helena Bergold (Fern Universität Hagen)

Title: Topological Drawings meet Classical Theorems of Convex Geometry

Abstract:

In this talk we discuss classical theorems from Convex Geometry such as Carathéodory's Theorem in a more general context of topological drawings of complete graphs. In a (simple) topological drawing the edges of the graph are drawn as simple closed curves such that every pair of edges has at most one common point. Triangles of topological drawings can be viewed as convex sets. This gives a link to convex geometry. Our main result is a generalization of Kirchberger's Theorem that is of purely combinatorial nature. For this we introduce a structure called ''generalized signotopes'' which are a combinatorial generalization of topological drawings. We discuss further properties of generalized signotopes. Joint work with Stefan Felsner, Manfred Scheucher, Felix Schröder and Raphael Steiner.