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SEMINAR: Groups and Combinatorics Seminar: Hemisystem-like structures in finite geometries

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Today's date is Tuesday, January 26, 2021
Groups and Combinatorics Seminar: Hemisystem-like structures in finite geometries Other events...
Time and place: 16:00 Friday 13 May in Blakers LT

Speaker: John Bamberg (UWA)

Title: Hemisystem-like structures in finite geometries

Abstract: This is a longer version of the talk I will be giving at “New Directions in Combinatorics” (Singapore). Beniamino Segre showed in his 1965 manuscript 'Forme e geometrie hermitiane, con particolare riguardo al caso finito' that there is no way to partition the points of the Hermitian surface H(3,q^2) into lines, when q is odd. Moreover, Segre showed that if there is an m-cover of H(3,q^2), a set of lines covering each point m times, then m=(q+1)/2; half the number of lines on a point. Such a configuration of lines is known as a hemisystem and they give rise to interesting combinatorial objects such as partial quadrangles, strongly regular graphs, and imprimitive cometric Q-antipodal association schemes. This talk will be on developments in the field of hemisystems of polar spaces and regular near polygons and their connections to other interesting combinatorial objects. No background in finite geometry will be assumed.
Contact Tomasz Popiel <[email protected]>
Start Fri, 13 May 2016 16:00
End Fri, 13 May 2016 17:00
Submitted by Tomasz Popiel <[email protected]>
Last Updated Thu, 12 May 2016 15:47
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