Geometry Webinar

Stable Gauss map of nearby Lagrangians

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Por Stéphane Guillermou (CNRS, Univ. Grenoble).

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 a joint work with Mohammed Abouzaid, Sylvain Courte and Thomas}

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