Introduction to hyperkähler Floer homology and new propects & ideas
Event details
| Date | 20.11.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Sonja Hohloch (EPFL) |
| Location | |
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: Floer homology is a powerful tool in symplectic geometry. It was developed by Andreas Floer at the end of the 1980's in order to prove Arnold's conjecture on the number of fixed points of so-called Hamiltonian diffeomorphisms.
In a joint work with Dietmar Salamon and Gregor Noetzel, we had generalized Floer homology to hyperkähler geometry, more precisely, we defined and computed it on flat, compact hyperkähler manifolds. In a new project with Thomas Walpuski, we want to remove the flatness condition. Lack of flatness renders the analysis much more difficult since the involved triholomorphic curves (also called Cauchy-Riemann-Fueter solutions) have new bubbling-off phenomena.
We will give an understandable introduction to (hyperkähler) Floer homology and then we try to motivate the arising analysis problems (without actually doing much analysis due to lack of time).
Abstract: Floer homology is a powerful tool in symplectic geometry. It was developed by Andreas Floer at the end of the 1980's in order to prove Arnold's conjecture on the number of fixed points of so-called Hamiltonian diffeomorphisms.
In a joint work with Dietmar Salamon and Gregor Noetzel, we had generalized Floer homology to hyperkähler geometry, more precisely, we defined and computed it on flat, compact hyperkähler manifolds. In a new project with Thomas Walpuski, we want to remove the flatness condition. Lack of flatness renders the analysis much more difficult since the involved triholomorphic curves (also called Cauchy-Riemann-Fueter solutions) have new bubbling-off phenomena.
We will give an understandable introduction to (hyperkähler) Floer homology and then we try to motivate the arising analysis problems (without actually doing much analysis due to lack of time).
Practical information
- Expert
- Free
Organizer
- Martins Bruveris