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Séminaire de Géométrie

Gronwall's conjecture for 3-webs with infinitesimal symmetries

Sergey AGAFONOV

( Universidade Federal da Paraiba, joao Pessoa, Brasil )

Salle 2

le 20 mai 2016 à 10:45

We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this classification we show that the Gronwall conjecture is true for 3-webs admitting infinitesimal symmetries.