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Floer theory on nodal Lagrangian fibrations - Second Part

Geometry/Topology

Speaker: Umut Varolgunes, Stanford
Location: 2112 MSB
Start time: Tue, Jan 22 2019, 1:30PM

A nodal fibration is a Lagrangian T^2-fibration on a symplectic manifold potentially with some singular fibers which are required to be nodal. Using relative Floer theory, it is possible to associate a sheaf of Novikov field algebras to a certain topology on the base of the fibration. In the first lecture, I will review some definitions, and discuss the sheaf property in a more general context. In the second lecture, I will give a progress report on computing the aforementioned sheaf for a nodal fibration. The first part is my thesis work. The second part is joint work in progress with Yoel Groman.