GT seminar: "Exact Lagrangians in cotangent bundles with locally conformally
symplectic structure"

Abstract: First considered by Lee in the 40s, locally conformally
symplectic (LCS) geometry appears as a generalization of symplectic
geometry which allows for the study of Hamiltonian dynamics on a wider
range of manifolds while preserving the local properties of symplectic
geometry. After a long period of hibernation (especially as far as the
topological aspect is concerned), this topic has recently seen renewed
interest. However, to this day, the field of LCS topology remains vastly
unexplored.
In this talk, we will introduce the various objects of LCS geometry and
their behavior through both definitions and examples. We will then
explore some questions around an LCS version of the nearby Lagrangian
conjecture and some of the connections between LCS and contact
geometry.

This is a talk in our Geometry and Topology Seminar Series.