Séminaire actuellement dans le cadre du trimestre IHP.
Pour plus d'info voir ici: https://indico.math.cnrs.fr/event/5767/
10h45 : Sushmita Venugopalan (IMSc, Chennai)
Title : Tropical Fukaya Algebras
Abstract: A multiple cut operation on a symplectic manifold produces a collection of cut spaces, each containing relative normal crossing divisors. We explore what happens to curve count-based invariants when a collection of cuts is applied to a symplectic manifold. The invariant we consider is the Fukaya algebra of a Lagrangian submanifold that is contained in the complement of relative divisors.
The ordinary Fukaya algebra in the unbroken manifold is homotopy equivalent to a `broken Fukaya algebra' whose structure maps count `broken disks' associated with rigid tropical graphs. Via a further
degeneration, the broken Fukaya algebra is homotopy equivalent to a `tropical Fukaya algebra' whose structure maps are sums of products over vertices of tropical graphs.
This is joint work with Chris Woodward.
13h45 : Steven Sivek (Imperial College London)
Title: Khovanov homology and the cinquefoil
