| 31 August | |||||||
| 14:00 - 15:00 | Markus Reineke Fano quiver moduli spaces | ||||||
| 1 September | |||||||
| 9:00 - 10:00 | Jakob Hedicke
Positive paths of contactomorphisms and cone structures
Abstract: Chernov and Nemirovski showed that timelike curves in a globally hyperbolic Lorentzian spacetime are related to positive Legendrian isotopies in the isotopy class of the fibres of a unit cotangent bundle. Similar results hold for globally hyperbolic cone structures. After an introduction about cone structures and their geodesics, we will show how one can naturally associate to a cone structure a positive path of contactomorphisms on a spherical cotangent bundle. From this path one can recover the cone structure and a flow of cone geodesics. On the other hand every positive path in Cont(ST*M) determines a (possibly non-smooth) cone structure on R×M. If the path satisfies certain convexity conditions the resulting cone structure is smooth and globally hyperbolic and the path corresponds to a cone geodesic flow. | ||||||
| 11:00 - 12:00 | Isabelle Charton Tall and monotone complexity one spaces of dimension six | ||||||
| 2 September | |||||||
| 9:00 - 10:00 | Kai Zehmisch The Riemann moduli space of nodal curves | ||||||
| 11:00 - 12:00 | Lucas Dahinden
Subriemannian billiards
Abstract: In subriemannian geometry we study Riemannian manifolds with movement restricted to a bracket generating subbundle of the tangent bundle. In this setting we define a billiard reflection law using control theoretic methods. The billiard trajectories admit a symplectic description: they lift to characteristic flow lines at the boundary of a domain in the cotangent bundle. We will elaborate the highly symmetric example of the Heisenberg group, which reveals strong connections to magnetic billiards. | ||||||
| 3 September | |||||||
| 9:00 - 10:00 | Nikhil Savale Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases | ||||||
| 11:00 - 12:00 | David Bechara Senior On the relation between asymptotic action and asymptotic winding number | ||||||
| 4 September | |||||||
| 9:00 - 10:00 | Abror Pirnapasov Mean action and the Calabi invariant | ||||||
| 11:00 - 12:00 | Peter Albers Symplectically convex curves and an isoperimetric inequality | ||||||
H. Geiges, 27.8.20