Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Vladimir D. Tonchev
Michigan Technological University
 
spricht am
 
Dienstag, 16. Mai 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Resolvable designs and maximal arcs in projective planes«

Abstract:
The topic of this talk are combinatorial structures, known as Steiner systems in combinatorial design theory, which arise naturally from certain configurations of points in a finite projective plane. A maximal arc of degree k in a finite projective plane Π is a set of points which intersects every line in either k or 0 points. The collection of the nonempty intersections of a maximal arc with the lines of Π is a Steiner system. Necessary and sufficient conditions for a Steiner system to be embeddable as a maximal arc in a projective plane are discussed. As an application of these conditions, it was shown recently that the Johnson plane of order 16 shares maximal arcs of degree 4 with the Bose-Barlotti plane and the Johnson-Walker plane of order 16.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Dieter Jungnickel
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


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