Fiber classification for hypersemitoric systems
- Event Type
- Seminar/Symposium
- Sponsor
- Symplectic and Poisson geometry seminar
- Location
- 347 Altgeld Hall
- Date
- Apr 3, 2023 3:00 pm
- Speaker
- Sonja Hohloch
- Views
- 14
- Originating Calendar
- General Events - Department of Mathematics
This talk starts with motivating the definition of hypersemitoric systems which are two degree of freedom integrable Hamiltonian systems on 4-dimensional symplectic manifolds with possibly mild degeneracies where one of the integrals gives rise to an effective Hamiltonian S^1-action. Then we give a brief overview of their main features and some examples before we sketch a topological classification of their fibers using 'labeled graphs'. This talk starts with motivating the definition of hypersemitoric systems which are two degree of freedom integrable Hamiltonian systems on 4-dimensional symplectic manifolds with possibly mild degeneracies where one of the integrals gives rise to an effective Hamiltonian S^1-action. Then we give a brief overview of their main features and some examples before we sketch a topological classification of their fibers using 'labeled graphs'.