|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Tori in four-dimensional Milnor fibres|
|Affiliation:||Massachusetts Institute of Technology|
|Date:||Friday, November 8|
|Time/Room:||1:30pm - 2:30pm/Fine 322, Princeton University|
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.