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Workshop

Hamiltonian systems, from topology to applications through analysis I October 08, 2018 - October 12, 2018
Registration Deadline: October 11, 2018 9 days ago
To apply for Funding you must register by: July 08, 2018 3 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Alessandra Celletti (University of Rome Tor Vergata), Rafael de la Llave (Georgia Institute of Technology), Diego del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas at Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
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Description
Web image
Depiction of the standard nontwist map (courtesy of G.Miloshevich).
This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis” and is a companion to the workshop next month (November 26-30).  Both workshops will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, 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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MSRI has a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Oct 08, 2018
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  On some nearly separable impact systems
Vered Rom-Kedar (The Weizmann Institute)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Minimum Energy Configurations in the N-Body Problem and the Celestial Mechanics of Granular Systems
Daniel Scheeres (University of Colorado at Boulder)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Symplectic gyrokinetic Vlasov-Maxwell theory
Alain Brizard (Saint Michael's College)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Jumps of energy near a separatrix in slow-fast Hamiltonian systems
Sergey Bolotin (University of Wisconsin-Madison)
Oct 09, 2018
Tuesday
09:15 AM - 10:15 AM
  Optimal rate of convergence in periodic homogenization of Hamilton-Jacobi equations
Yifeng Yu (University of California, Irvine)
10:15 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Stability for PDEs, the Maslov Index, and Spatial Dynamics
Margaret Beck (Boston University)
11:30 AM - 12:30 PM
  A topological mechanism for diffusion, with application to the elliptic restricted three body problem
Maciej Capinski (AGH University of Science and Technology)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Hamiltonian reduced fluid models for non-dissipative plasmas
Emanuele Tassi (Laboratoire Lagrange)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Variational discretizations of gauge field theories using group-equivariant interpolation spaces
Melvin Leok (University of California, San Diego)
04:30 PM - 06:20 PM
  Reception
Oct 10, 2018
Wednesday
09:15 AM - 10:15 AM
  Integrable Systems and Optimal Control
Anthony Bloch (University of Michigan)
10:15 AM - 10:30 AM
  Break
10:30 AM - 11:30 AM
  Dynamics of Water Waves
Massimiliano Berti (International School for Advanced Studies (SISSA/ISAS))
11:30 AM - 12:30 PM
  Noether theorem for magnetised plasmas.
Natalia Tronko (Max-Planck-Institut für Plasmaphysik (EURATOM))
Oct 11, 2018
Thursday
09:30 AM - 10:30 AM
  Momentum maps for automorphism groups
Tudor Ratiu (Shanghai Jiao Tong University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Effective bounds for the measure of rotations
Alex Haro (Universitat de Barcelona)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Dark Plasma
Joshua Burby (New York University, Courant Institute)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Exponential stability of Euler integral in the three--body problem
Gabriella Pinzari (Università di Padova)
Oct 12, 2018
Friday
09:30 AM - 10:30 AM
  The vanishing discount problem in a noncompact setting
Antonio Siconolfi (Universita' di Roma La Sapienza)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Whiskered KAM Tori of Conformally Symplectic Systems
Renato Calleja (Instituto de Matemáticas Aplicadas y Sistemas)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Multi-physics models for hybrid kinetic-fluid and classical-quantum systems
Cesare Tronci (University of Surrey)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Local dynamics and invariant manifolds of traveling wave manifolds of Hamiltonian PDEs
Chongchun Zeng (Georgia Institute of Technology)