Stable homotopy types in Floer theory and the nearby Lagrangian conjecture.

Nom de l'orateur
Thomas Kragh
Etablissement de l'orateur
Uppsala universitet
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

Recent progress on the nearby Lagrangian conjecture has revealed that a closed (compact without boundary) exact Lagrangian in a cotangent bundle is homotopy equivalent to the base. Another recent result by Abouzaid has shown that for some spheres it in fact has to be diffeomorphic to the base. There is, however, a similar question of interest yet in a slightly different direction. Since Lagrangian immersions satisfies an h-principle they are easy to classify, and odd dimensional spheres has an infinite number of classes up to regular isotopy. However, the question: which immersions classes admits an embedded representative is hard. In this talk I will present some current work with Abouzaid using stable homotopy types in place of symplectic homology to partially answer this question for spheres.