SCIENTIFIC PROGRAMS AND ACTIVITIES

October 22, 2014

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

July 2012
FOCUS PROGRAM ON GEOMETRY, MECHANICS AND DYNAMICS
the Legacy of Jerry Marsden
at The Fields Institute, Toronto
Organizing Committee:
Dong Eui Chang, Professor, University of Waterloo.
Darryl Holm, Professor of Applied Mathematics, Imperial College London.
George W. Patrick, Professor, University of Saskatchewan (principal organizer).
Tudor Ratiu, Director of the Bernoulli Center, EPFL

Jerry Marsden, a pre-eminent applied mathematician, passed away September 21, 2010. He was the Carl F. Braun Professor of Engineering, Control and Dynamical Systems and Applied and Computational Mathematics, at the California Institute of Technology. His honors include: Fellow of the Royal Society, Fellow of the Royal Society of Canada, von Neumann Lecture and Prize (SIAM), Max Planck Research Award for Mathematics and Informatics, the Norbert Wiener Prize (AMS), and the Thomas K. Caughey Dynamics Award (ASME). In addition, he was the first director of the Fields Institute.

"Remembering Jerry Marsden", an obituary
Obituary: Jerry Marsden

Overview of the Program

The program will focus the topics on areas in which Jerry had significant contributions, or extend his lines of research, or, more generally, focus on a subject that we know would have been of interest to Jerry. The following themes will be targeted:

  • Symplectic, Poisson, and Dirac geometry, reduction.
  • Bifurcation theory.
  • Geometric fluid dynamics and elasticity.
  • Averaged hydrodynamics and Lagrangian coherent states.
  • Space mission design.
  • Geometric and structure preserving integration.
  • Control and nonholonomic mechanics.
  • Field theory and relativity.

The Focus Program will be generally be scheduled as follows. Participants who would like to speak or give a Minisymposium during the Program may contact the principal organizer George Patrick patrick(at)math.usask.ca

Week of July 3 - 6, 2012
Geometric and Structure Preserving Integration


Tuesday
(July 3)
Wednesday
(July 4)
Thursday
(July 5)
Friday
(July 6)
2:00-3:00
Organization Meeting with Participants
Mathieu de Brun
Room 210
Darryl D. Holm
Fermat's Principle and the Geometric Mechanics of Ray Optics (slides)
Room 210
Darryl D. Holm
Fermat's Principle and the Geometric Mechanics of Ray Optics (slides)
Room 210
3:00-3:30
Darryl Holm
Fermat's Principle and the Geometric Mechanics of Ray Optics

Coffee Break
Coffee Break
Coffee Break
3:30-4:00
Darryl D. Holm
Fermat's Principle and the Geometric Mechanics of Ray Optics (slides)
Room 210
Cristina Stoica
N-body Problem
Bahen Centre: Room 1190
4:00-4:30
Christian Lessig
Geometry of Light Transport
Bahen Center, Room 1190
4:30-5:00
Henry Jacobs
Room 210
Melvin Leok
General Techniques for Constructing Variational Integrators
Bahen Centre: Room 1190
Tomasz Tyranowski
Adaptive Variational Integrator
Room 210
5:00-5:30
 

Week of July 09-13, 2012
Geometry and mechanics
Location: Fields Institute, Room 210

 
Monday
(July 9)
Tuesday
(July 10)
Wednesday
(July 11)
Thursday
(July 12)
Friday
(July 13)
11:00-12:00
Cesare Tronci
University of Surrey
Collisionless kinetic theory of rolling molecules
Jaume Llibre
Universitat Autonoma de Barcelona
On the central con gurations
of the Nbody problem
Debra Lewis
University of California Santa Cruz
Colloquium
Martins Bruveris
Imperial College London
Geometry of Image Registration: Diffeomorphism group and Momentum maps
(Starts at 10:45am)
Vakhtang Putkaradze
University of Alberta
Colloquium
12:00-2:00
Lunch
Lunch
Lunch
Lunch
Lunch
2:00-3:00
Alex Castro
Pontifícia Universidade Católica do Rio de Janeiro
Summer School
Alex Castro
Pontifícia Universidade Católica do Rio de Janeiro
Summer School
Henry Jacobs
California Institute of Technology
Summer School
George Patrick
University of Saskachewan
Variational integrators
Martins Bruveris
Imperial College London
Geometry of Image Registration: Diffeomorphism group and Momentum maps
3:00-3:30
Tea Break
Tea Break
Tea Break
Tea Break

3:30-4:30

Ale Cabrera
Universidade Federal Rio de Janeiro
Geometric phases in partially controlled mechanical systems
François Gay-Balmaz
Ecole Normale Superieure de Paris
Dual pairs in fluid dynamics
David Meier
Imperial College London
Quantum Splines
(Ends at 4pm)
Ale Cabrera
Universidade Federal Rio de Janeiro
Geometric phases in partially controlled mechanical systems
Tea Break
4:30-5:30
Darryl D. Holm
Imperial College London
Fields Institute Colloquium in Applied Mathematics
Momentum Maps, Image Analysis & Solitons
(Begins at 4:10pm, Room 230)
Felipe Arrate
Basque Center for Applied Mathematics
Cardiac Electrophysiology Model on the moving heart

Week of July 16-20, 2012
Control and nonholonomic mechanics; Fluid dynamics and elasticity; Field theory and relativity

In the third week of the program, participants of the symposia during the first two weeks will meet in informal collaborations, and there will be a summer school on Mechanics and Geometry in Canada (MAGIC).

 
Monday
(July 16)
Tuesday
(July 17)
Wednesday
(July 18)
Thursday
(July 19)
Friday
(July 20)
9:30-10:30
Jedrzej Sniatycki
University of Calgary
Differential Geometry of Singular Spaces and Reduction of Symmetries
Jedrzej Sniatycki
University of Calgary
Differential Geometry of Singular Spaces and Reduction of Symmetries
Jedrzej Sniatycki
University of Calgary
Differential Geometry of Singular Spaces and Reduction of Symmetries
Jedrzej Sniatycki
University of Calgary
Differential Geometry of Singular Spaces and Reduction of Symmetries
Tanya Schmah
University of Toronto
Reduction of systems with configuration space isotropy
10:30-11:00
Coffee Break
Coffee Break
Coffee Break
Coffee Break
Coffee Break
11:00-12:00
Tudor Ratiu
Ecole Polytechnique Fédérale de Lausanne
The reduced variation principle for free-boundary continua
Klas Modin
Chalmers University of Technology
Higher dimensional generalisation of the $\mu$--Hunter--Saxton equation
David Martin de Diego
Review talk about nonholonomic dynamics
J.C. Morrero
University of La Laguna
Hamilton-Jacobi equation and integrability
Anthony Bloch
University of Michigan
Continuous and Discrete Embedded Optimal Control Problems
12:00-2:00
Lunch
Lunch
Lunch
Lunch
Lunch
2:00-3:00
Henrique Bursztyn
IMPA, Rio de Janeiro
An Introduction to Dirac Structures
Paula Balseiro
Universidade Federal Fluminense
Twisted brackets in nonholonomic mechanics
Edith Padrón
Hamilton-Jacobi equations and nonholonomic dynamics
Dimitri Zenkov
North Carolina State University
The Hamel equations and applications to nonholonomic systems
Miguel Rodriguez-Olmos Technical University of Catalonia
Hamiltonian bifurcations from stable branches of relative equilibria
3:00-3:30
Tea Break
Tea Break
Tea Break
Tea Break
Tea Break
3:30-5:30

Lyudmyla Grygor'yeva, Juan-Pablo Ortega and Stanislav Zub
Working group on problems of non-contact confinement of rigid bodies
(Ends at 5:00pm)


 

 

Reception
(Begins at 5:00pm)

David Meier, Francois-Xavier Vialard, Martins Bruveris, Francois Gay-Balmaz and Chris Burnett
Mini-symposium on image registration
Richard Montgomery
University of California, Santa Cruz
Classical Few-body Progress

Jeffery Lawson
Western Carolina University
A heuristic approach to geometric phase

Tomoki Ohsawa
University of California, San Diego
Richard Montgomery
University of California, Santa Cruz
Classical Few-body Progress

Shane Ross
Virginia Tech
Lagrangian coherent structures
Gabriela Depetri
Universidade Estadual de Campinas
Geodesic chaos around black-holes with magnetic fields
Miguel Vaquero
Instituto de Ciencias Matemáticas
Hamilton-Jacobi for Generalized Hamiltonian Systems
Eder Mateus
Universidade Federal de Sergipe
Spatial isosceles three body problem with rotating axis of symmetry
Adriano Regis
Universidade Federal Rural de Pernambuco
Vortices on the triaxial ellipsoid: a movie show
Brian Seguin
McGill University
A transport theorem for irregular evolving domains
5:30pm-6:00pm

Week of July 23-27, 2012
Conference on Geometry, symmetry, dynamics, and control: The legacy of Jerry Marsden.

 
Monday
(July 23)
Tuesday
(July 24)
Wednesday
(July 25)
Thursday
(July 26)
Friday
(July 27)
9:00-10:10

Wang Sang Koon
California Institute of Technology
Control of a Model of DNA Division Via Parametric Resonance

David Ebin
Stony Brook University
Reflections on the paper, "Groups of diffeomorphisms and the motion of an incompressible fluid"
Juan-Pablo Ortega
Université de Franche-Comté/Centre National de la Recherche Scientifique
Stochastic Hamiltonian Systems

Anthony Bloch
University of Michigan
The geometry of integrable and gradient flows and dissipation

(Audio of talk)
Hiroaki Yoshimura
Waseda University
Dirac Structures, Variational Principles and Reduction in Mechanics --- Toward Understanding Interconnection Structures in Physical Systems
(Audio of talk)
10:10-10:40
Coffee Break
Coffee Break
Coffee Break
Coffee Break
10:40- 11:50 Henry Jacobs
Caltech; Imperial College London
Is swimming a limit cycle?
Mark Gotay
University of British Columbia
Momentum Maps and Classical Fields
Joris Vankerschaver
University of California, San Diego
Fluid-Structure Interactions: Geometric and Numerical Aspects

Marco Castrillón López
Universad Complutense de Madrid
Higher order covariant Euler-Poincaré

(Audio of talk)

Arthur Fischer
UCSC
The Legacy of Jerry Marsden's Early Career Work
in Riemannian Geometry and General Relativity
11:50-2:00
Lunch
Lunch
Lunch
Lunch
Lunch
2:00-2:40
Banavara Shashikanth
New Mexico State University
Vortex dynamics of classical fluids in higher dimensions
Dong Eui Chang
University of Waterloo
Control of mechanical systems

2:00-3:00
Introduction by Mark Gotay, PIMS
2012 PIMS Marsden Memorial Lecturer - Richard Montgomery

(Audio of talk)

Antonio Hernández-Garduño
UAM-I, Mexico
Algebra and reduction of the three vortex problem
(Audio of talk)

Elisa Guzmán
Universidad de La Laguna
Reduction of Lagrangian submanifolds and Tulczyjew's triple
(Audio of talk)
2:40-3:20 George Patrick
University of Saskatchewan
Geometry and the analysis of geometric numerical algorithms
Jair Koiller
Getulio Vargas Foundation
A gentle introduction to Microswimming: geometry, physics, analysis

Scott Kelly
University of North Carolina at Charlotte
(Audio of talk)
Ari Stern
University of California, San Diego
Symplectic groupoids and discrete constrained Lagrangian mechanics
3:20-3:50
Tea Break
Tea Break
Tea Break
(3:00-3:30)
Tea Break
End
3:50-4:30
Tom Mestdag
Ghent University
Anholonomic frames in nonholonomic mechanics
William F. Shadwick
Omega Analysis Limited
From the Geometry of Extreme Value Distributions to 'Laws of Mechanics' in Financial Markets
4:30-5:10 Daniel Offin
Queen's University
Stephen Preston
University of Colorado
Geodesic equations on contactomorphism groups
Andrea Dziubek, Edmond Rusjan SUNY IT
A Model for the Retina Including Blood Flow and Deformation

(Audio of talk)

 

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