Lorentz Center - Dynamics and Geometry from 15 Jun 2015 through 19 Jun 2015
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    Dynamics and Geometry
    from 15 Jun 2015 through 19 Jun 2015


Report on the Lorentz center workshop

Dynamics & Geometry

Leiden, 15-19 June, 2015


Organizers: Igor Hoveijn and Holger Waalkens

University of Groningen, The Netherlands


The main objectives of the workshop were

1. Communicate Recent Advances in Geometric Methods for Dynamical Systems

2. Extend Methods for Low-Dimensional Systems to High-Dimensional Systems

3. Applications to High-Dimensional Systems from Celestial Mechanics, Molecular Dynamics and Other. The workshop was a great success and very well perceived by the participants. Almost all of the invited speakers came to the workshop and gave talks along the lines of the main objectives. In total there were 51 participants which included 26 speakers and 13 PhD students. In addition to the throughout high quality talks there were lively discussions after each of the talks and during the free time in between the talks. Basically all participants contributed to the discussions which were experienced as very fruitful and stimulating. PhD students had the opportunity to present their work on posters. Six (plus one senior

participant) have made use of this opportunity. There was a strong interest in the posters resulting in many small group discussions in front of the posters during the breaks. This very much stimulated the interaction between PhD students and senior workshop participants.

A major result of the workshop is a conference proceedings which will be published as a special issue of the journal Indagationes Mathematicae. The special issue will have the same title as the workshop. To this date a substantial number of participants have already submitted their manuscripts for the proceedings.

These manuscripts are presently going through a proper refereeing process. The special issue will be published in 2016. Accepted papers will moreover be published online on the website of the journal immediately after their acceptance.


Speakers and participants

List of speakers and titles:

1. Claude Baesens, Abrupt bifurcation from chaotic scattering: view from the anti-integrable limit

2. Richard Cushman, Bohr-Sommerfeld-Heisenberg quantization

3. Bob Devaney, Cantor and Sierpinski, Julia and Fatou: Crazy Topology in Complex Dynamics

4. Holger Dullin, Non-rigid body dynamics, twisting somersault, and geometric phase

5. Konstantinos Efstathiou, Hamiltonian Monodromy: a new point of view

6. Jaap Elderling, Nonholonomic dynamics through friction

7. Francesco Fass˛, Conservation of "moving energy" in nonholonomic systems with a_ne constraints and integrability of spheres on rotating surfaces.

8. Marty Golubitsky, Network Invariants and Network Preserving Changes of Coordinates

9. Alex Haro, Singularity theory for nontwist tori: from rigorous results to computations

10. Frank den Hollander, Metastability for the Widom-Rowlinson model

11. Toshihiro Iwai, Band rearrangements through Dirac equations with boundary conditions

12. Angel Jorba, Dynamics, Geometry and Solar sails

13. Lev Lerman, On the geometry of slow-fast Hamiltonian systems

14. Marc Levi, Traveling waves in lattices

15. Henk Nijmeijer, The sympathetic motion of coupled systems: from Huygens' clocks to arbitrary oscillators

16. Bob Rink, On the robustness of minimising foliations and laminations in Aubry-Mather theory

17. Robert Roussarie, Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems

18. Tere M.-Seara, Orbits with increasing angular momentum in the elliptic restricted three body problem

19. Mikhail Sevryuk, Kinetic energy partitions for multidimensional many-particle systems

20. Carles Simˇ, Experiments looking for theoretical predictions

21. Yakov Sinai, Blow up of complex solutions of the 3D Navier-Stokes system and renormalization

22. Alef Sterk, Extreme value statistics for deterministic systems

23. Evgeny Verbitskiy, Spanning Trees, Sandpiles, and Algebraic Dynamics

24. Sebastian Walcher, Some positive aspects of the orbit space method

25. Lei Zhao, De Sitter's Theory of Galilean Satellites and Librating Quasi-Periodic Orbits

26. Boris Zhilinsk´´, ôZooö of energy band rearrangements for finite particle quantum systems