Simplification of singularities of Lagrangian and Legendrian fronts

Geometry Topology Seminar
Monday, February 11, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Daniel Álvarez-Gavela – IAS
John Etnyre
We will present an h-principle for the simplification of singularities of Lagrangian and Legendrian fronts. The h-principle says that if there is no homotopy theoretic obstruction to simplifying the singularities of tangency of a Lagrangian or Legendrian submanifold with respect to an ambient foliation by Lagrangian or Legendrian leaves, then the simplification can be achieved by means of a Hamiltonian isotopy. We will also discuss applications of the h-principle to symplectic and contact topology.