UvA-VU Dynamic Analysis Seminar

The Dynamic Analysis seminar is organized jointly with the analysis group at the UvA.

The seminar (usually) takes place every other Wednesday, 16:00-17:00.

Talks are intended for an audience with a background in analysis and dynamical systems, including PhD students.

For more information, please contact the organizers: Oliver Fabert (VU), Rob van der Vorst (VU),  Han Peters (UvA) and Ale Jan Homburg (UvA).

A database of earlier years' seminars can be found here.

Upcoming talks in 2018


14 February: Fabian Ziltener (Utrecht), 16:00-17:00, Room WN-S623

Title:Coisotropic submanifolds of symplectic manifolds and leafwise fixed points for C^0-small Hamiltonian flows

Abstract: Consider a symplectic manifold (M,\omega), a closed coisotropic submanifold N of M, and a Hamiltonian diffeomorphism \phi on M. A leafwise fixed point for \phi is a point x\in N that under \phi is mapped to its isotropic leaf. These points generalize fixed points and Lagrangian intersection points. In classical mechanics leafwise fixed points correspond to trajectories that are changed only by a time-shift, when an autonomous mechanical system is perturbed in a time-dependent way. J. Moser posed the following problem: Find conditions under which leafwise fixed points exist. A special case of this problem is V.I. Arnold's conjecture about fixed points of Hamiltonian diffeomorphisms. In my talk I will provide the following solution to Moser's problem. Namely, leafwise fixed points exist, provided that the Hamiltonian diffeomorphism is the time-1-map of a Hamiltonian flow whose restriction to N stays C^0-close to the inclusion N\to M.

28 February: Alef Sterk (Groningen), 16:00-17:00, Room WN-S623

14 March: Heinz Hanssmann (Utrecht), 16:00-17:00, Room WN-S623

16 March: Mini-Workshop on Symplectic Geometry

28 March: Jason Frank (Utrecht), 16:00-17:00, Room WN-P640

25 April: KonstantinosEfstathiou (Groningen), 16:00-17:00, Room WN-S623

09 May: Kees Vuik (TU Delft), 16:00-17:00, Room WN-S623

Previous talks in 2018