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Towards the strong Arnold conjecture

Roman Golovko
(Université Libre de Bruxelles)
Thursday, 11 May, 2017, at 13:15-14:00, in Aud. D3 (1531-215)

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