Mathematics Colloquia and Seminars
Floer theory on nodal Lagrangian fibrations - First PartStudent-Run Geometry/Topology Seminar
|Speaker:||Umut Varolgunes, Stanford University|
|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.