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Cartan's 5 variables centennial.

Le : 08/10/2010 15h00
Par : Boris KRUGLIKOV (IHES et Université de Tromso, Norvège)
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Résumé : In 1910 Ellie Cartan completely described the geometry of rank 2 distributions in 5 dimensional spaces and discussed the symmetry and integrability issues for overdetermined PDEs. Exceptional Lie group G_2 was first realized in this paper. In the talk I discuss what is the counterpart of Cartan's story for 2 distributions in general and relate this to the geometry of Monge equations. The talk is based on the joint work with Ian Anderson.