
SCIENTIFIC PROGRAMS AND ACTIVITIES 

July 3, 2015  
Jerry Marsden, a preeminent 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 Overview of the Program

Tuesday
(July 3) 
Wednesday
(July 4) 
Thursday
(July 5) 
Friday
(July 6) 

2:003:00

Organization Meeting with Participants

Mathieu de Brun
Room 210 

3:003:30

Darryl Holm
Fermat's Principle and the Geometric Mechanics of Ray Optics 
Coffee Break

Coffee Break

Coffee Break

3:304:00

Cristina Stoica
Nbody Problem Bahen Centre: Room 1190 

4:004:30


4:305:00

Henry Jacobs
Room 210 
Melvin Leok
General Techniques for Constructing Variational Integrators Bahen Centre: Room 1190 
Tomasz Tyranowski
Adaptive Variational Integrator Room 210 

5:005:30

Monday
(July 9) 
Tuesday
(July 10) 
Wednesday
(July 11) 
Thursday
(July 12) 
Friday
(July 13) 

11:0012:00

Martins Bruveris
Imperial College London Geometry of Image Registration: Diffeomorphism group and Momentum maps (Starts at 10:45am) 

12:002:00

Lunch

Lunch

Lunch

Lunch

Lunch

2:003:00

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 
3:003:30

Tea Break

Tea Break

Tea Break

Tea Break


3:304:30 
Ale Cabrera
Universidade Federal Rio de Janeiro Geometric phases in partially controlled mechanical systems 
François GayBalmaz
Ecole Normale Superieure de Paris Dual pairs in fluid dynamics 
Ale Cabrera
Universidade Federal Rio de Janeiro Geometric phases in partially controlled mechanical systems 
Tea Break


4:305:30

Marcel Oliver
Jacobs University Backward error analysis for symplectic Runge–Kutta Methods on Hilbert spaces 
Dong Eui Chang
University of Waterloo DampingInduced Self Recovery Phenomenon in Mechanical Systems with an Unactuated Cyclic Variable 
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 
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) 

9:3010:30

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 
10:3011:00

Coffee Break

Coffee Break

Coffee Break

Coffee Break

Coffee Break

11:0012:00

Tudor Ratiu Ecole Polytechnique Fédérale de Lausanne The reduced variation principle for freeboundary continua 
Klas Modin Chalmers University of Technology Higher dimensional generalisation of the $\mu$HunterSaxton equation 
David Martin de
Diego Review talk about nonholonomic dynamics 
J.C. Morrero University of La Laguna HamiltonJacobi equation and integrability 
Anthony Bloch University of Michigan Continuous and Discrete Embedded Optimal Control Problems 
12:002:00

Lunch

Lunch

Lunch

Lunch

Lunch

2:003:00

Henrique
Bursztyn IMPA, Rio de Janeiro An Introduction to Dirac Structures 
Paula
Balseiro Universidade Federal Fluminense Twisted brackets in nonholonomic mechanics 
Edith
Padrón HamiltonJacobi equations and nonholonomic dynamics 
Dimitri
Zenkov North Carolina State University The Hamel equations and applications to nonholonomic systems 
Miguel
RodriguezOlmos Technical University of Catalonia Hamiltonian bifurcations from stable branches of relative equilibria 
3:003:30

Tea Break

Tea Break

Tea Break

Tea Break

Tea Break

3:305:30

Leonardo Colombo
Instituto de Ciencias Matemáticas Higherorder LagrangePoincaré reduction for optimal control of underactuated mechanical systems 
Lyudmyla Grygor'yeva, JuanPablo Ortega and Stanislav
Zub
Reception 
David Meier, FrancoisXavier Vialard,
Martins Bruveris, Francois GayBalmaz and Chris Burnett
Minisymposium on image registration 
Richard Montgomery
Jeffery LawsonUniversity of California, Santa Cruz Classical Fewbody Progress Western Carolina University A heuristic approach to geometric phase Tomoki Ohsawa University of California, San Diego 
Richard Montgomery
University of California, Santa Cruz Classical Fewbody Progress Shane Ross Virginia Tech Lagrangian coherent structures 
Gabriela
Depetri Universidade Estadual de Campinas Geodesic chaos around blackholes with magnetic fields 

Miguel
Vaquero Instituto de Ciencias Matemáticas HamiltonJacobi 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 5:30pm6:00pm 
Monday
(July 23) 
Tuesday
(July 24) 
Wednesday
(July 25) 
Thursday
(July 26) 
Friday
(July 27) 

9:0010:10

Wang Sang Koon 
David Ebin Stony Brook University Reflections on the paper, "Groups of diffeomorphisms and the motion of an incompressible fluid" 
JuanPablo Ortega Université de FrancheComté/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) 
10:1010:40

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 FluidStructure Interactions: Geometric and Numerical Aspects 
Marco Castrillón López 
Arthur Fischer UCSC The Legacy of Jerry Marsden's Early Career Work in Riemannian Geometry and General Relativity 
11:502:00

Lunch

Lunch

Lunch

Lunch

Lunch

2:002:40

Banavara Shashikanth New Mexico State University Vortex dynamics of classical fluids in higher dimensions 
Dong Eui Chang University of Waterloo Control of mechanical systems 
2:003:00 
Antonio HernándezGarduño UAMI, 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) 
2:403:20  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 

3:203:50

Tea Break

Tea Break

Tea Break
(3:003:30) 
Tea Break

End

3:504:30

Tom Mestdag Ghent University Anholonomic frames in nonholonomic mechanics 
Melvin Leok
University of California, San Diego Discrete Hamiltonian Variational Integrators and Discrete HamiltonJacobi Theory 
William F. Shadwick
Omega Analysis Limited From the Geometry of Extreme Value Distributions to 'Laws of Mechanics' in Financial Markets 

4:305:10  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 