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Home » Hamiltonian systems, from topology to applications through analysis II

Workshop

Hamiltonian systems, from topology to applications through analysis II November 26, 2018 - November 30, 2018
Registration Deadline: November 30, 2018 14 days ago
To apply for Funding you must register by: August 26, 2018 4 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Alessandra Celletti (Seconda Università di Roma "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, Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
Speaker(s)

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Description
Web image
An invariant set inhibiting transport in a two degree-of-freedom Hamiltonian system (courtesy J. D. Szezech)
This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis.”  It  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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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)