This Thursday at U. Haifa Topology & Geometry seminar on March 28, 2019 at 12:10

Geometry & Topology Seminar

Speaker:  Douglas Schultz (Technion)

Topic:  A FAMILY OF NON- DISPLACEABLE LAGRANGIANS

IN A FULL FLAG MANIFOLD

Place:    room 614 in the Science & Education Building

Time   12:10

Date:  Thursday, March 28, 2019

                                                   Abstract:

A symplectic manifold has no local invariants by Darboux’s theorem, so one is inclined to search for global invariants. It is known that certain Lagrangian submanifolds, which are half-dimensional submanifolds that are isotropic with respect to the symplectic form, say something deep about the ambient symplectic manifold. The Lagrangians that carry such information are all non-displaceable under exact isotopy of the symplectic manifold. However, these non-displaceable Lagrangians typically occur in discrete families, if we find them at all.

There are only a few examples in the literature of higher dimensional families of non-displaceable Lagrangians. In this talk, we exhibit such a family in manifold of full flags in C^3 by viewing said manifold as a symplectic fiber bundle and computing Floer homological invariants defined in this setting.

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