Stable Gauss map of nearby Lagrangians

Abstract: The stable Gauss map of a Lagrangian $L$ in a cotangent $T^*M$ is a map $g\colon L \to U/O$ obtained by stabilization of the usual Gauss map from $L$ to the Lagrangian Grassmannian of $T^*M$. Arnold's conjecture on nearby Lagrangians implies in particular that $g$ is homotopic to a constant map. We will see the weaker result that the map induced by $g$ on the homotopy groups is trivial.

This is joint work with Mohammed Abouzaid, Sylvain Courte and Thomas

mathematical physicsalgebraic geometryalgebraic topologydifferential geometryrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry and Physics @ Lisbon