Geometry, Topology and Dynamics Seminar
Ailsa Keating
Columbia University
Lagrangian tori in four-dimensional Milnor fibres
Abstract: The Milnor fibre of any isolated hypersurface singularity contains exact
Lagrangian spheres: the vanishing cycles associated to a Morsification of
the singularity. Moreover, for simple singularities, it is known that the
only possible exact Lagrangians are spheres. I will explain how to
construct exact Lagrangian tori in the Milnor fibres of all non-simple
singularities of real dimension four. Time allowing, I will use these to
give examples of fibres whose Fukaya categories are not generated by
vanishing cycles, and explain applications to mirror symmetry for those
fibres.
Monday November 17, 2014 at 3:00 PM in SEO 636