Thomas Kragh : A simple construction of the Fukaya, Seidel, Smith - spectral sequence.

Abstract: In a paper by Fukaya, Seidel, Smith in 2007 they used a spectral sequence on A-infinity categories, induced by a filtration given by certain Lefschetz thimbles, to prove that nearby Lagrangians (spin) in a simply connected (spin) cotangent bundle are homology equivalent to the zero section. In this talk I will present a much more direct and simple construction of a similar spectral sequence and sketch an alternate proof of this. Then if time permits I will also discus how this can be generalized as Abouzaid generalized Fukaya, Seidel and Smiths proof to the non simply connected (and non spin) cases.