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SEMINAR: Groups and Combinatorics Seminar: Spreads of symplectic spaces of small order

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Today's date is Thursday, July 29, 2021
Groups and Combinatorics Seminar: Spreads of symplectic spaces of small order Other events...
Groups and Combinatorics Seminar

Sylvia Morris (UWA)

will speak on

Spreads of symplectic spaces of small order

at 1pm on Tuesday 14th of August in MLR2

Abstract: Spreads of symplectic spaces are used to construct translation planes, Kerdock codes and mutually unbiased bases. Several families of infinite symplectic spreads are known but these are far from covering all symplectic spreads. In particular, there is little known about symplectic spreads which create a non-semifield translation plane. For q=2 there is a unique spread of W(5,q) and for q=3 the symplectic spreads have been classified by Dempwolff. For q=4 there is a connection between symplectic spreads and the unique ovoid of Q^+(7,4). I have been using linear programming methods to find spreads in W(5,4) and W(5,5) which have non-trivial stabiliser. I will present my methods and results thus far, focussing on some interesting new examples of non-semifield symplectic spreads and their stabilisers.
Speaker(s) Sylvia Morris
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Tue, 14 Aug 2012 13:00
End Tue, 14 Aug 2012 13:45
Submitted by Michael Giudici <[email protected]>
Last Updated Thu, 09 Aug 2012 21:51
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