Workshop on Hamiltonian Dynamical Systems
Description
Rationale: A conference on analytic techniques of dynamical systems, including perturbation theory, variational methods and stability theory. The subject will include both finite dimensional Hamiltonian systems such as in celestial mechanics, and infinite dimensional Hamiltonian systems, such as those arising from PDE or from other dynamical systems with infinitely many degrees of freedom.
This workshop is in fact a continuation of a regular series of workshops on analytic methods for Hamiltonian dynamical systems. This series was an outgrowth of the famous Oberwolfach workshops organized by J. Moser and E. Zehnder. The last two workshops took place at the International Centre for Mathematical Sciences in Edinburgh, at two year intervals of time. In the past, we have obtained funding for these meetings from the European Community, the EPSRC, the NSF Committee for International Programs, and the Clay Mathematics Institute.
Confirmed Speakers:
S. Bolotin (University of Wisconsin)
C.-Q. Cheng (Nanjing University)
L. Chierchia (Università degli Studi "Roma Tre" )
R. de la Llave (University of Texas at Austin)
D. Gaidashev (University of Toronto)
V. Gelfreich (University of Warwick)
G. Gentile (Università degli Studi "Roma Tre" )
V. Ginzburg (University of California at Santa Cruz)
D. Gomes (University of California at Berkeley)
H. Hofer (Courant Institute)
L. Jonsson (The Fields Institute)
T. Kappeler (Institut für Mathematik, Universität Zürich)
D. Khmelev (University of Toronto)
M. Levi (Penn State)
J. Mather (Princeton)
K. Meyer (University of Cincinnati)
D. Sauzin (CNRS - Institut de Mécanique Céleste)
L. Stolovitch (CNRS-Laboratoire Emile Picard)
D. Treschev (Moscow State University)
M. Yampolsky (University of Toronto)
C. Zeng (University of Virginia)
Travel Information: Toronto to Montreal
Train: VIA Rail Canada, approx. $92 - 185 one way trip (4 - 5 hours).
Book online at www.viarail.ca or by telephone at 1-888-VIA-RAIL
Bus: Greyhound Canada, approx. $63 - $88 one way trip (8 - 9 hours).
Book online at www.greyhound.ca or in person at
TORONTO COACH TERMINAL
610 Bay St. Toronto, ON, M5G 1M5
(416) 594-1010 (phone), (416) 971-7681 (fax)
Monday-Sunday: 00:00-01:00, 05:00-23:59;
Holidays: 00:00-01:00, 05:00-23:59
Schedule
| 12:30 to 13:30 |
Registration
|
| 13:30 to 14:15 |
Shadowing and energy growth in billiards with moving boundary
Mark Levi, The Pennsylvania State University Location: |
| 14:15 to 15:00 |
Dynamics on the space of quantum observables
Dmitry Treschev Location: |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:15 |
On the well-posedness of KdV in H^{-1}(\mathbb T)
Thomas Kappeler, Universität Zurich Location: |
| 09:15 to 10:00 |
Small amplitude periodic solutions for the nonlinear vibrating string
Guido Gentile, Università Roma Tre Location: |
| 10:00 to 10:30 |
Coffee Break
|
| 10:30 to 11:15 |
Shadowing of collision chains for the elliptic 3 body problem
Sergey Bolotin, University of Wisconsin–Madison Location: |
| 11:15 to 12:00 |
Near a double resonance
John Mather Location: |
| 12:00 to 13:30 |
Lunch
|
| 13:30 to 14:15 |
Arnold diffusion in a-priori unstable Hamiltonian systems with multiple degrees of freedom
Chongqing Cheng, Nanjing University Location: |
| 14:15 to 15:00 |
Instability and normally invariant laminations
Rafael de la Valle, University of Texas at Austin Location: |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:15 |
No Title Specified
Vassili Gelfreich, University of Warwick Location: |
| 09:00 to 09:45 |
Branching Floer Homology
Viktor Ginzburg, UC Santa Cruz Location: |
| 09:45 to 10:30 |
Hamiltonian PDEs with strong potentials
C. Zeng (University of Virginia) Location: |
| 10:30 to 11:15 |
Coffee Break
|
| 11:15 to 12:00 |
Skew-products over the Bernoulli shift with infinite ergodic measure
David Sauzin, UPC-Observatoire de Paris Location: |
| 12:00 to 12:45 |
Symmetric periodic orbits in the isosceles three body problem
D. Offin (Queen's University) Location: |
| 09:15 to 10:00 |
A KAM phenomenon for singular holomorphic vector fields
Laurent Stolovitch Location: |
| 10:00 to 10:30 |
Coffee Break
|
| 10:30 to 11:15 |
No Title Specified
Helmut Hofer, New York University Location: |
| 11:15 to 12:00 |
Quasi-periodic motions for the planetary N-body problem
Luigi Chierchia, Roma Tre University Location: |
| 12:00 to 13:30 |
Lunch
|
| 13:30 to 14:15 |
On solitary wave dynamics in an external potential
Lars Jonsson, KTH Location: |
| 14:15 to 15:00 |
No Title Specified
Denis Gaidashev, Uppsala University Location: |
| 15:00 to 15:30 |
Coffee Break
|
| 09:15 to 10:00 |
Detection of Gaps of Aubry-Mather sets
Diogo Gomes, KAUST and King Abdullah University of Science and Technology Location: |
| 10:00 to 10:45 |
Renormalization and rigidity on the boundary of KAM -- the study of critical circle maps
Michael Yampolsky, University of Toronto Location: |
| 10:45 to 11:15 |
Coffee Break
|
| 11:15 to 12:00 |
Integral manifolds of the 3-body problem
Kenneth R. Meyer, University of Cincinnati Location: |
| 12:00 to 12:45 |
Log-bounds for solution of Burgers and Hamilton-Jacoby equation in unbounded domains
Dmitry Viktorovich Khmelev Location: |
