Home /  Introductory Workshop: Hamiltonian systems, from topology to applications through analysis

Workshop

Introductory Workshop: Hamiltonian systems, from topology to applications through analysis August 20, 2018 - August 24, 2018
Registration Deadline: August 24, 2018 almost 6 years ago
To apply for Funding you must register by: May 20, 2018 about 6 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Marie-Claude Arnaud (Université d'Avignon), WILFRID GANGBO (University of California, Los Angeles), LEAD vadim kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley), Philip Morrison (University of Texas, Austin)
Speaker(s)

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Description
The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, Hamilton-Jacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics. The workshop will consist of approximately 18 lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.  
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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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)