Fibrant symplectic homology and the nearby Lagrangian conjecture

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• Thomas Kragh, Uppsala
• Wednesday 24 October 2012, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

I will start by defining and explaining the particulars involved in the nearby Lagrangian conjecture. Then I will shortly discuss invariants such as symplectic homology and Fukaya categories and how these have been used to obtain results on the conjecture. This will lead us to consider a notion of fiber-wise symplectic homology, which defines a local system and provides a Serre type spectral sequence strongly converging to symplectic homology. I will then explain how certain structures on this spectral sequence leads to new results on the conjecture.

This talk is part of the Differential Geometry and Topology Seminar series.

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