Hông Vân Lê, Homotopy invariants of chain complexes and closed orbits of locally Hamiltonian systems, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract): Difference between revisions

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| title = Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems
| title = Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems
| abstract = In 1987 Floer developed his Floer homology theory to prove a homological version of the Arnold conjecture, which is finally proved by Fukaya-Ono and Liu-Tian in 1998.  In my lecture I shall discuss a homological version of the Arnold conjecture concerning the least number of closed orbits of locally Hamiltonian systems.  I also discuss the strong version of the Arnold conjecture using homotopy invariants of free finitely generated chain complexes.
| abstract = In 1987 Floer developed his Floer homology theory to prove a homological version of the Arnold conjecture, which is finally proved by Fukaya-Ono and Liu-Tian in 1998.  In my lecture I shall discuss a homological version of the Arnold conjecture concerning the least number of closed orbits of locally Hamiltonian systems.  I also discuss the strong version of the Arnold conjecture using homotopy invariants of free finitely generated chain complexes.
| slides = [[Media:Hông Vân Lê, Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Hông Vân Lê, Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]]
| slides = [[Media:Hông Vân Lê, Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf|Hông Vân Lê, Homotopy invariants of chain complexes  and  closed orbits of locally Hamiltonian  systems (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf]]
| references =  
| references =  
| 79YY-MM-DD = 7984-89-81
| 79YY-MM-DD = 7984-89-81
}}
}}

Latest revision as of 17:27, 3 November 2015

Speaker: Hông Vân Lê

Title: Homotopy invariants of chain complexes and closed orbits of locally Hamiltonian systems

Abstract:
In 1987 Floer developed his Floer homology theory to prove a homological version of the Arnold conjecture, which is finally proved by Fukaya-Ono and Liu-Tian in 1998. In my lecture I shall discuss a homological version of the Arnold conjecture concerning the least number of closed orbits of locally Hamiltonian systems. I also discuss the strong version of the Arnold conjecture using homotopy invariants of free finitely generated chain complexes.

Slides: Hông Vân Lê, Homotopy invariants of chain complexes and closed orbits of locally Hamiltonian systems (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf

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