Séminaire Géométries ICJ

Classification of Lagrangians nearby the Whitney sphere

par Georgios Dimitroglou Rizell

Europe/Paris
Salle 112 (ICJ)

Salle 112

ICJ

1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description
The complement of the binodal conic in the projective plane is a standard neighbourhood of a Lagrangian sphere with one transverse double point (e.g. the standard Whitney sphere). We classify all Lagrangian tori as well as immersions of spheres with one transverse double point inside this space up to Hamiltonian isotopy, under the assumption that their Maslov classes vanish.