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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.