We discuss exotic Lagrangian tori in dimension greater than or equal to six. First, we give another approach to Auroux’s result that there are infinitely many tori in ℝ6 which are distinct up to symplectomorphisms of the ambient space. The exotic tori we construct naturally appear in a two-parameter family, some of which are not monotone. Small enough tori in this family can be embedded by a Darboux chart into any tame symplectic manifold and one can show that they are still distinct up to symplectomorphisms.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
