In the third talk I will derive an exact sequence relating the Legendrian contact homology of the two ends of an exact Lagrangian cobordism with the relative homology of the cobordism as a corollary of Cthulhu homology. Then, as a corollary of corollary, I will obtain rigidity properties of self-cobordisms. If time permits, I will also explain how to obtain information on the fundamental group of an exact Lagrangian cobordism using an L^2 completion of Cthulhu homology