BEGIN:VCALENDAR
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
VERSION:2.0
BEGIN:VEVENT
DESCRIPTION: In this talk we discuss classical theorems from Convex Geometr
y such as Carathéodory's Theorem in a more general context of topological d
rawings 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 h
as at most one common point. Triangles of topological drawings can be viewe
d 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 n
ature. For this we introduce a structure called ''generalized signotopes''
which are a combinatorial generalization of topological drawings. We discus
s further properties of generalized signotopes. Joint work with Stefan Fels
ner\, Manfred Scheucher\, Felix Schröder and Raphael Steiner.
DTSTAMP:20210127T151100
DTSTART:20210208T141500
CLASS:PUBLIC
LOCATION:online
SEQUENCE:0
SUMMARY:Helena Bergold (Fern Universität Hagen): Topological Drawings meet
Classical Theorems of Convex Geometry
UID:107739366@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20210208-L-Bergold.html
END:VEVENT
END:VCALENDAR