31 August |
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14:00 - 15:00 | Markus Reineke Fano quiver moduli spaces | ||||||

1 September |
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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 Lorentzianspacetime 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 satisfiescertain 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 |
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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 toa 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 |
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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 |
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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
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