Programme
20th International Workshop
on Differential
Geometric Methods in Theoretical Mechanics
Ghent, 21 - 27 August 2005
PROGRAMME
Monday, August 22
Session: Relativity
Tuesday, August 23
Session: Short Communications
Wednesday, August 24
Session: Integrability and separability
Thursday, August 25
Session: Symplectic Connections
Friday, August 26
Session: Applications of Lie Algebroids
Session: Relativity
Organisers: Giuseppe Marmo, José Cariñena
Morning
09:00 - 10:00 Giuseppe Marmo: Space-time, relativity and objective existence
10:00 - 11:00 Mariano Santander: Galileian relativity
11:00 - 11:30 Coffee Break
11:30 - 12:30 Gaetano Vilasi: Nonlinear gravitational waves and their natural sources
13:00 Lunch
Afternoon
14:00 - 15.30 Discussions
15:30 - 16:00 Coffee Break
16:30 - 17:00 Fabrizio Canfora: Holography and gravity
17:00 - 17:15 Break - Discussion
17:15 - 17:45 Paolo Aniello: Wavelet transform and the Poincaré group
17:45 - 18:15 Giuseppe Scolarici: Space-time discrete symmetries implemented as internal symmetries
19:00 Dinner
Session: Short Communications
Coordinator: Frans Cantrijn
Morning
09:00 - 09:30 Geoff Prince: How the inverse problem changed my life
09:30 - 10:00 Marco Castrillon Lopez: Routh reduction of non-singular Lagrangians
10:00 - 10:30 Andreu Lázaro: On the second Noether’s theorem in time-dependent mechanics
10:30 - 11:00 Coffee Break
11:00 - 11:30 Dana Smetanová: On regularizations of Lagrangian systems
11:30 - 12:00 Carlos Lopez: Variational calculus and additional structures
12:00 - 12:30 Joris Vankerschaver: Geometric aspects of constrained field theories
13:00 Lunch
Afternoon
14:00 - 15:30 Discussions
15:30 - 16:00 Coffee Break
16:00 - 16:30 Peter T. Nagy: On the isomorphism classes of 1-dimensional differential loops
16:30 - 17:00 Xavier Gràcia: A geometric glance at the Hamilton-Jacobi equation
17:00 - 17:15 Break - Discussion
17:15 - 17:45 Roberto Benito: Higher order discrete mechanics
17:45 - 18:15 Bavo Langerock: Accessible sets of conic distributions
18:30 Dinner and Special Seminar
Session: Integrability and separability
Organisers: Franco Magri, Alberto Ibort
Morning
09:00 - 10:00 Pantelis Damianou: A gentle approach to the full Kostant - Toda lattice
10:00 - 11:00 Vladimir Matveev: Integrable systems and differential geometry
11:00 - 11:30 Coffee Break
11:30 - 12:30 Franco Magri: A few open problems in the theory of separable systems
13:00 Lunch
Afternoon
14:00 - 15:30 Discussions
15:30 - 16:00 Coffee Break
16:00 - 16:30 Giovanni Rastelli: Some recent advances in classical separability theory
16:30 - 17:00 Krzysztof Marciniak: Separation curves as a source of soliton hierarchies
17:00 - 17:30 Arturo Ramos: About the origin of two first integrals of a ball rolling on a surface of revolution
19:00 Dinner
20:30 Discussion: Workshop 2006
Session: Symplectic Connections
Organisers: Simone Gutt, Michel Cahen
Morning
09:00 - 10:00 Simone Gutt: Introduction to symplectic connections
10:00 - 11:00 Lorenz Schwachhöfer: Rigidity results for special symplectic connections
11:00 - 11:30 Coffee Break
11:30 - 12:30 John Rawnsley: Twistor bundles for symplectic manifolds
13:00 Lunch
Afternoon
14:30 - 15:15 Pierre Bieliavsky: Quantisation of symmetric symplectic spaces
15:15 - 15:45 Coffee Break
15:45 - 16:15 Stefan Waldmann: The covariant Picard groupoid in differential geometry
16:15 - 16:45 Michel Cahen: Symmetric symplectic spaces
17:30 Reception City Hall
19:00 Conference Dinner in “ Het Pand”
Session: Applications of Lie Algebroids
Organisers: Manuel de León, Juan-Carlos Marrero, Eduardo Martínez
Morning
09:00 - 10:00 Rui Loja Fernandes: Integrability of Lie algebroids: theory and applications
10:00 - 11:00 Juan Carlos Marrero: Lie algebroids and some applications to mechanics
11:00 - 11:30 Coffee Break
11:30 - 12:30 Jorge Cortés: Mechanical control systems on Lie algebroids
12:30 - 13:30 Eduardo Martínez: Classical field theory on Lie algebroids
13:30 Lunch
Afternoon
14:30 - 15:30 Discussions.
15:30 - 16:00 Coffee Break
16:00 - 16:30 Katarzyna Grabowska: Geometrical mechanics on algebroids
16:30 - 17:00 Tom Mestdag: Non-holonomic reduction by stages
17:00 - 17:15 Break - Discussion
17:15 - 17:45 David Martín de Diego: Mechanics on Lie groupoids
17:45 - 18:15 Diana de las Nieves Sosa: Lagrangian submanifolds and dynamics on Lie affgebroids
19:00 Dinner