The geometries of the Freudenthal-Tits magic square

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• Jeroen Schillewaert (Imperial)
• Wednesday 15 May 2013, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

I will discuss an ongoing project (joint with H. Van Maldeghem) to give a uniform axiomatic description of the embeddings in projective space of the varieties corresponding with the geometries of exceptional Lie type over arbitrary fields.

In particular, I will focus on the second row of the split version of the Freudenthal-Tits Magic Square, and provide a uniform (incidence) geometric characterization of the Severi varieties over arbitrary fields.

This can be regarded as a counterpart over arbitrary fields of the classification of smooth complex algebraic Severi varieties. The proofs just use projective geometry.

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

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