We have two SGGTC seminars this Friday, again on fairly different topics:
9:30 am, Math 520: Ciprian Manolescu, "The Heegaard Floer invariant of the circle"
Abstract: As part of the bordered Floer homology package, Lipshitz, Ozsvath and D. Thurston have associated to a parametrized oriented surface a certain differential graded algebra. I will describe a decomposition theorem for this algebra, corresponding to cutting the surface along a circle. In this decomposition, we associate to the circle a categorical structure called the nilCoxeter sequential 2-algebra. I will also discuss a decomposition theorem for bordered modules associated to nice diagrams, corresponding to cutting a 3-manifold with boundary along a surface transverse to the boundary. This is joint work with Christopher Douglas.
10:45 am, Math 520: Garrett Alston, "Real Lagrangians in the quintic"
Abstract: I will talk about some computations of Floer cohomology of real Lagrangians in the quintic, and I'll relate these computations to matrix factorizations in the mirror of the quintic. I'll also make some remarks about the possibility of the real Lagrangians generating the Fukaya category. This is work in progress.
Obviously, both look exciting; I'll see you there.
Best,
Robert