Séminaire actuellement dans le cadre du trimestre IHP.
Pour plus d'info voir ici: https://indico.math.cnrs.fr/event/5767/
10h45 : Baptiste Chantraine (Nantes)
Title : compact objects in the Fukaya category and representations ofEliashberg-Chekanov algebra.
Abstract : Let L be a compact Lagrangian in a Weinstein manifold
obtained from a subcritical one by attaching a handle along a Legendrian
V. We will see how to associate to L a filling of a satelite of V and
how this one induces a representation of the Chekanov-Eliashberg algebra
of V. We will show that Legendrian contact homology linearised with
respect to this representation recovers the Floer homology of L. We will
talk about extensions of this considerations to A-infinity opérations on
both sides. This is a joint work with G. Dimitroglou-Rizell and P. Ghiggini
13h45 : Paolo Ghiggini (Nantes)
Title : Many real projective spaces are not Liouville fillableAbstract : I will show that the standard contact structure on the real projective spaces RP^{4k+1} is not Liouville fillable using a classical argument on degeneration of moduli spaces of holomorphic spheres. A stronger result has been obtained by Zhengyi Zhou using more algebraic methods. This is a joint work with Klaus Niederküger
