Home /  Connections for Women: Hamiltonian Systems, from topology to applications through analysis

Workshop

Connections for Women: Hamiltonian Systems, from topology to applications through analysis August 16, 2018 - August 17, 2018
Registration Deadline: December 14, 2018 over 5 years ago
To apply for Funding you must register by: May 16, 2018 about 6 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Marie-Claude Arnaud (Université d'Avignon), LEAD Basak Gurel (University of Central Florida), Tere Seara (Polytechnical University of Cataluña (Barcelona))
Speaker(s)

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Description
330px std map 0.971635
Representing the orbits of the standard map for K = 1.2
This workshop will feature lectures on a variety of topics in Hamiltonian dynamics given by leading researchers in the area. The talks will focus on recent developments in subjects closely related to the program such as Arnold diffusion, celestial mechanics, Hamilton-Jacobi equations, KAM methods, Aubry-Mather theory and symplectic topological techniques, and on applications. The workshop is open to all mathematicians in areas related to the program. Bibliography (PDF)      
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Celestial Mechanics

  • Arnold diffusion

  • KAM methods

  • Hamiltonian dynamics

  • variational methods

  • invariant manifolds and their splitting

  • Hamilton-Jacobi equations

  • Aubry-Mather theory

  • symplectic topological techniques

Primary Mathematics Subject Classification
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 16, 2018
Thursday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Analyticity domains of KAM tori in some dissipative systems
Alessandra Celletti (Seconda Università di Roma "Tor Vergata'')
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Periodic orbits of Hamiltonian systems: the Conley conjecture and beyond
Viktor Ginzburg (University of California, Santa Cruz)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Invariant stable manifolds associated to parabolic objects with applications to Celestial Mechanics
Inmaculada Baldomá (Polytechnical University of Cataluña (Barcelona) )
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Parabolic and collision trajectories: a survey on the variational approach to the N-body and N-centre problem
Susanna Terracini (Università di Torino)
04:30 PM - 05:30 PM
  Panel Discussion
06:30 PM - 08:00 PM
  Dinner for Women Mathematicians
Aug 17, 2018
Friday
09:30 AM - 10:30 AM
  Loop Products and Self-Intersections
Nancy Hingston (College of New Jersey)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Hamiltonian dynamics and extension of symplectic/contact forms.
Emmy Murphy (Princeton University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Desingularizing singular symplectic structures to understand their associated dynamics
Eva Miranda (Polytechnical University of Cataluña (Barcelona))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Geometrical methods for reduced Hamiltonian models in plasma physics
Natalia Tronko (Max-Planck-Institut für Plasmaphysik (EURATOM))