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SEMINAR: Groups and Combinatorics Seminar, Maximal arcs that contain regular hyperovals

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Today's date is Friday, October 23, 2020
Groups and Combinatorics Seminar, Maximal arcs that contain regular hyperovals Other events...
Abstract:

A maximal n-arc is a set of q(n-1) + n points in a projective plane such that any line of the plane meets 0 or n of them. The most common maximal arcs, called the Mathon arcs, are constructed by taking the union of regular hyperovals. In particular, there are no known maximal 4-arcs other than the Mathon arcs and their duals. This talk will cover the history of maximal arcs, including the construction of the Mathon arcs, as well as new results. The most important result is that every maximal 4-arc in PG(2,q), that is a union of regular hyperovals, is a Mathon arc. This is joint work with Nicola Durante from Universita' degli Studi di Napoli Federico II.
Speaker(s) Sylvia Morris
Location Weatherburn Lecture Theatre
Contact Irene Pivotto <[email protected]>
Start Fri, 02 Aug 2013 15:00
End Fri, 02 Aug 2013 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Wed, 02 Oct 2013 16:07
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