Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät 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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