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Schedule, Notes/Handouts & Videos

Introductory Workshop: Hamiltonian systems, from topology to applications through analysis August 20, 2018 - August 24, 2018

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Aug 20, 2018
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Introduction to weak KAM theory I
Marie-Claude Arnaud (Université d'Avignon)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Hamilton description of plasmas and other models of matter: structure and applications I
Philip Morrison (University of Texas, Austin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to KAM theory in the planetary system I
Jacques Fejoz (Université de Paris IX (Paris-Dauphine))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Introduction to Periodic Orbits and Invariant Manifolds in Celestial Mechanics with Applications to Space Missions I
Rodney Anderson (NASA Jet Propulsion Laboratory (JPL))
Aug 21, 2018
Tuesday
09:30 AM - 10:30 AM
  Hamilton description of plasmas and other models of matter: structure and applications I
Philip Morrison (University of Texas, Austin)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Introduction to weak KAM theory II
Marie-Claude Arnaud (Université d'Avignon)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Introduction to Periodic Orbits and Invariant Manifolds in Celestial Mechanics with Applications to Space Missions II
Rodney Anderson (NASA Jet Propulsion Laboratory (JPL))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Introduction to KAM theory in the planetary system II
Jacques Fejoz (Université de Paris IX (Paris-Dauphine))
04:30 PM - 06:20 PM
  Reception
Aug 22, 2018
Wednesday
09:30 AM - 10:30 AM
  Introduction to applications of KAM theory to PED's I
Clarence Wayne (Boston University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Introduction to Arnold's diffusion problems I
Tere Seara (Polytechnical University of Cataluña (Barcelona))
Aug 23, 2018
Thursday
09:30 AM - 10:30 AM
  Introduction to Arnold's diffusion problems II
Ke Zhang (University of Toronto)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  An introduction to applications of KAM theory to PDE's II
Clarence Wayne (Boston University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Normal forms and KAM theory in Celestial Mechanics: from space debris to the rotation of the Moon
Alessandra Celletti (Seconda Università di Roma "Tor Vergata'')
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Introduction to Numerical Methods for Hamiltonian Systems
Michael Kraus (Max-Planck-Institut für Plasmaphysik (EURATOM))
Aug 24, 2018
Friday
09:00 AM - 09:30 AM
  The periodic orbits problem in Tonelli Hamiltonian dynamics
Marco Mazzucchelli (École Normale Supérieure de Lyon)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Vizualizing the Dynamics of Symplectic Maps
James Meiss (University of Colorado at Boulder)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Dynamical and spectral properties of mathematical billiards
Alfonso Sorrentino (Seconda Università di Roma "Tor Vergata'')
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Interaction between two charges in a uniform magnetic field
Robert MacKay (University of Warwick)