Veronesean representations of Moufang planes

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• Jeroen Schillewaert, Imperial College London
• Wednesday 08 October 2014, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

In 1901 Severi proved the complex quadric Veronese variety is determined by three algebraic/differential geometric properties. In 1984 Mazzocca and Melone obtained a combinatorial analogue of this result for finite quadric Veronese varieties. We make further abstraction of these properties to characterize Veronesean representations of all the Moufang projective planes defined over a quadratic alternative division algebra over an arbitrary field. In the process, new Veroneseans over a non-perfect field of characteristic 2 (related to purely inseparable field extensions) are found.

This talk is part of the Algebra and Representation Theory Seminar series.

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