Vanishing results for Lagrangians inside the symplectisation

Vendredi 14 octobre 2016 15:30-16:30 - Georgios Dimitroglou Rizell - Cambridge

Résumé : The symplectisation is the trivial symplectic cobordism, and it contains trivial cylindrical Lagrangian counterparts. We show that an arbitrary exact Lagrangian cobordism in the symplectisation is similar to a trivial one in the sense that its induced Viterbo transfer map for fillings always is an isomorphism. We deduce applications and also put the result in the context of a related vanishing of a hypothetical Fukaya category of Lagrangian cobordisms. This is work in progress joint with Chantraine-Ghiggini-Golovko.

Lieu : Laboratoire de Mathématiques de Nantes

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