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Floer theory on nodal Lagrangian fibrations - First Part

Student-Run Geometry/Topology Seminar

Speaker: Umut Varolgunes, Stanford University
Location: 3106 MSB
Start time: Tue, Jan 22 2019, 11:00AM

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.