Floer homology in hyperkahler geometry
Event details
| Date | 04.10.2012 |
| Hour | 15:15 › 17:00 |
| Speaker | Sonja Hohloch, EPFL |
| Location | |
| Category | Conferences - Seminars |
In the first half of the talk, we will introduce and motivate the concept of Floer homology. Among others, this includes a discussion of the so-called "Arnold Conjecture" which estimates the number of fixed points of a Hamiltonian diffeomorphism by the sum of the Betti numbers of the underlying (closed, symplectic) manifold.
Although Floer homology was thought for a long time to be a "symplectic creature", it turned out that it can also be defined (with certain modifications) on certain hyperkahler manifolds. There also exists an hyperkahler analog of the Arnold Conjecture. (This is a joint work with G. Noetzel and D. Salamon).
In the second half of the talk, we will study hyperkahler Floer homology and "its" Arnold conjecture in more detail, i.e. we will discuss aspects of the proofs and arising new phenomena and problems. If time left, we will consider further geometric and dynamical aspects.
Although Floer homology was thought for a long time to be a "symplectic creature", it turned out that it can also be defined (with certain modifications) on certain hyperkahler manifolds. There also exists an hyperkahler analog of the Arnold Conjecture. (This is a joint work with G. Noetzel and D. Salamon).
In the second half of the talk, we will study hyperkahler Floer homology and "its" Arnold conjecture in more detail, i.e. we will discuss aspects of the proofs and arising new phenomena and problems. If time left, we will consider further geometric and dynamical aspects.
Practical information
- General public
- Free
Organizer
- Tamas Hausel, EPFL