Lagrangian intersection of the Gauss images of isoparametric hypersurfaces

Lagrangian intersection of the Gauss images of isoparametric hypersurfaces

Intersection theory of Lagrangian submanifolds plays an important role to study symplectic topology. One efficient tool to study this comes from Lagrangian Floer cohomology, which was first defined by Floer and generalized by Oh. The Floer cohomology ring of a Lagrangian submanifold is independent of the choice of the Hamiltonian isotopy. However, it seems that there are not many non-displaceable examples known by Floer theoretic methods until now.

In this program we will give attention to a very special and nice class of compact embedded Lagrangian submanifolds in complex hyperquadrics, which are obtained as Gauss images of isoparametic hypersurfaces in spheres.

This program aims to meet collaborators to study the Floer cohomogy of Gauss images and their Lagrangian intersection theory.

Organizers

NameUniversity
Hui MaTsinghua University, China