Roman Golovko

(Université Libre de Bruxelles)

(Université Libre de Bruxelles)

Seminar

Thursday, 11 May, 2017, at 13:15-14:00, in Aud. D3 (1531-215)

Abstract:

In the 1960’s, V.I. Arnold announced several fruitful conjectures in symplectic topology concerning the number of fixed point of a Hamiltonian diffeomorphism in both the absolute case (concerning periodic Hamiltonian orbits) and the relative case (concerning Hamiltonian chords on a Lagrangian submanifold). The strongest form of Arnold conjecture for a closed symplectic manifold (sometimes called the strong Arnold conjecture) says that the number of fixed points of a generic Hamiltonian diffeomorphism of a closed symplectic manifold X is greater or equal than the number of critical points of a Morse function on X. We will discuss the stable version of Arnold conjecture, which is closely related to the strong Arnold conjecture. This is joint work with Georgios Dimitroglou Rizell.

*Note: This seminar is aimed at a general audience of mathematicians *

Organised by: QGM

Contact person: Jørgen Ellegaard Andersen