On the ((3n)4)-configurations of Kartezi
Institución: ELTE, Budapest (Hungary) & University of Primorska, Koper (Slovenia)
Tipo de Evento: Investigación
| Cuándo |
04/03/2026 de 17:00 a 18:00 |
|---|---|
| Dónde | ZOOM ID 882 9372 3602 |
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An (nk)-configuration (P,L) is a set P of n points and a set L of n lines such that each point lies on exactly k lines, and each line contains exactly k points. The configuration is geometric, topological, or combinatorial depending on whether lines are considered to be straight lines, pseudolines (simple closed curves) or just combinatorial lines. Configurations are closely related to finite geometries and extremal graph theory.
In 1964, Ferenc Karteszi proved a theorem in real geometry that gives rise to a series of geometric 4-configurations K(n; ℓ,m). In this talk, we explore some properties of the Karteszi configurations and in particular show that K(7; 2, 3) is isomorphic to the famous (214)-configuration of Grünbaum and Rigby, which was only presented in 1990.
