New insights on marginally trapped surfaces: the hedgehog theory point of view

Localisation: Université Paris 6, France
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 2015
Date de début: 22/01/2018 - 13:30
Date de fin: 22/01/2018 - 14:30

In this talk, we will try to argue and to show through fundamental examples that (a very huge class of) marginally trapped surfaces arise naturally from a ‘lightlike co-contact structure’, exactly in the same way as Legendrian fronts arise from a contact one (by projection of a Legendrian submanifold to the base of a Legendrian fibration), and that there is an adjunction relationship between both notions. We especially focus our interest on marginally trapped hedgehogs and study their relationships with Laguerre geometry and Brunn-Minkowski theory.