Séminaire actuellement dans le cadre du trimestre IHP.
Pour plus d'info voir ici: https://indico.math.cnrs.fr/event/5767/
10h45-11h45 : Kaoru Ono, (Kyoto).
Title : Orbifold Lagrangian Floer theory
Abstract: I will present a set-up for orbifold Lagrangian Floer theory,
We introduce the notion of dihedral twisted sectors for Lagrangians,
intersections of Lagrangians. Then I explain their role in the construction of
Floer theory. It is in collaboration with Bohui Chen and Bai-Ling Wang.
13h45-14h45 : Georgios Dimitroglou-Rizell (Uppsala)
Title: Non-squeezing of Legendrian knots into neighbourhoods of non-Legendrians and C^0 contactomorphisms
Abstract: We discuss joint work with M. Sullivan where we show that a
contactomorphism cannot squeeze some fixed Legendrian knot into an
arbitrarily small neighbourhood of a non-Legendrian knot, under the
additional constraint that the two knots become isotopic inside the
neighbourhood, and that the contact manifold is tight. The techniques
used are Giroux's theory of convex surfaces combined with Honda's study
of solid tori with convex boundary. A corollary is that a smooth image
of a Legendrian under a C0-contactomorphism is again Legendrian (here
tightness is not needed).
