Alexandru Oancea: Symplectic homology and the Eilenberg-Steenrod axioms

I will define symplectic homology groups for a pair of filled Liouville cobordisms and for a pair of exact filled Lagrangian cobordisms and explain to what extent they satisfy analogues of the Eilenberg-Steenrod axioms. This provides in particular a unifying point of view on essentially all the long exact sequences that were previously established in the context of open symplectic manifolds and their Lagrangian submanifolds. Joint work with Kai Cieliebak.