Tori in four-dimensional Milnor fibres

Friday, November 8, 2013 -
1:30pm to 2:30pm
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.
Speaker: 
Ailsa Keating
MIT
Event Location: 
Fine Hall 322