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Schedule, Notes/Handouts & Videos

Hamiltonian systems, from topology to applications through analysis II November 26, 2018 - November 30, 2018

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Nov 26, 2018
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Infinitely many coplanarities
Richard Montgomery (University of California, Santa Cruz)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Shearless Invariant Curves In Confined Plasmas
Ibere Caldas (University of Sao Paulo)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Hamiltonian ODE and Hamilton-Jacobi PDE with Stochastic Hamiltonian Function
Fraydoun Rezakhanlou (University of California, Berkeley)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Rigorous High-Order Methods in the Description of Large Particle Accelerators
Martin Berz (Michigan State University)
Nov 27, 2018
Tuesday
09:15 AM - 10:15 AM
  Plasma physics inspired Hamiltonian dynamics problems
Diego del-Castillo-Negrete (Oak Ridge National Laboratory)
10:15 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Two dimensional examples of the Jacobi-Maupertuis metric
Richard Moeckel (University of Minnesota Twin Cities)
11:30 AM - 12:30 PM
  Geometric and Hamiltonian hydrodynamics via Madelung transform
Boris Khesin (University of Toronto)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Head and Tail speeds of Mean curvature flow with periodic forcing
Inwon Kim (University of California, Los Angeles)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Lecture
Tadashi Tokieda (Stanford University)
04:30 PM - 06:20 PM
  Reception
Nov 28, 2018
Wednesday
09:30 AM - 10:30 AM
  Singularities in Poisson manifolds: bifurcation and symmetry breaking
Zensho Yoshida (University of Tokyo)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  From Celestial Mechanics to Fluid Dynamics: Contact structures with singularities
Eva Miranda (Polytechnical University of Cataluña (Barcelona))
Nov 29, 2018
Thursday
09:30 AM - 10:30 AM
  Drift and Diffusion in Symplectic and Volume-Preserving Maps
James Meiss (University of Colorado at Boulder)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  From Particle Noise to Coherent X-Rays: Beam Dynamics of X-ray Free-Electron Lasers
Kwang Je Kim (EFI)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  KAM theory for ultra-differentiable Hamiltonians
Abed Bounemoura (Université de Paris IX (Paris-Dauphine))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Gyroscopic analogy of a rotating stratified flow confined in a tilted spheroid with a heavy symmetrical top with the top axis misaligned from the axis of symmetry
Yasuhide Fukumoto (Institute of Mathematics for Industry)
Nov 30, 2018
Friday
09:30 AM - 10:30 AM
  A weaker notion of convexity for Lagrangians not depending solely on velocities and positions.
Wilfrid Gangbo (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Hamiltonian Instability via Geometric Method
Marian Gidea (Yeshiva University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Erratic behaviour for one-dimensional random walks in a generic quasi-periodic environment
Maria Saprykina (Royal Institute of Technology (KTH))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Recurrence on abelian coverings
Albert Fathi (Georgia Institute of Technology; École Normale Supérieure de Lyon)