2nd International Summer School on Geometry, Mechanics, and Control
Organizing Committes
Juan Carlos Marrero, (Universidad de La Laguna)
Edith Padrón, (Universidad de La Laguna)
David Martín de Diego, (CSIC, Madrid)
Diana Sosa, (University de La Laguna)
David Iglesias, (CSIC, Madrid)
Organizers of Scientific Programme
Juan Carlos Marrero, (Universidad de La Laguna)
Manuel de León, (CSIC, Madrid)
Juan Pablo Ortega (Université de Franche-Comté, CNRS
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Monday, June 9 |
Tuesday, June 10 |
Wednesday, June 11 |
Thursday, June 12 |
Friday, June 13 |
Saturday, June 14 |
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9:00-9:30 |
Opening |
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9:30-11:00 |
Symmetry in geometric mechanics and dynamics |
Symmetry in geometric mechanics and dynamics |
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Symmetry in geometric mechanics and dynamics |
Symmetry in geometric mechanics and dynamics |
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11:00-11:30 |
Coffee |
Coffee |
Visit to the Observatorio del Roque de los Muchachos |
Coffee |
Coffee |
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11:30-13:00
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Topics in vortex dynamics |
Topics in vortex dynamics |
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Survey Talk |
Survey Talk |
Excursion |
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13:00-15:30 |
Lunch break
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Lunch break |
Lunch break |
Lunch break |
Lunch break |
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15:30-16:30 |
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16:00-17:30 |
Symmetry in geometric mechanics and dynamics |
Topics in vortex dynamics |
Symmetry in geometric mechanics and dynamics
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Topics in vortex dynamics |
Topics in vortex dynamics
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16:30-17:00 Coffee |
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17:00-18:00 |
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Topics in vortex dynamics |
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18:00-19:00 |
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Session for students |
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Scholarships
A limited number of scholarships for PhD and advanced undergraduate students will be provided by the organisers in order to partially cover for travel and/or lodging expenses.
If you want to apply for a scholarship, please send here gmcnetull.es your CV (and grades certificate in case you are an undergraduate student) by April 15, 2008.
Contact: gmcnetull [dot] es
In order to register, please send the following information by e-mail to gmcnetull [dot] es
First Name
Family Name
Institution
Country
FAX
E-mail address
Are you a student or PhD student?
The standard registration fee for participants is 200 Euros
The fee for students and retired scientists is 100 Euros
The registration fee includes: conference materials, coffee breaks and lunches along the Workshop
Payment should be made by banck order to the following bank account
Bank: Cajacanarias
Account: 2065 0067 61 1400223636
IBAN: ES31 2065 0067 6114 0022 3636
BIC/SWIFT: CECAESMM065
Please, ask your bank to write explicitly in your transference order the name "2GMC + surname of the participant" and send confirmation (your name and transfer details) by e-mail to gmcnetull [dot] es or by fax to the number +34922318145, no later than 15 May, 2008
The number of rooms which have been reserved by the organization is limited, therefore we ask you to make the reservation as soon as possible.
Hotel Taburiente Playa (Hotel****) Playa de Los Cancajos, s/n, Breña Baja – La Palma, Canary Islands
The H10 Taburiente Playa 4* Hotel is located on the seafront on the lush island of La Palma, known for its beautiful scenery and exotic nature near Los Cancajos beach (300 metres from the hotel)
Prices
Single room: 62,50 Euros (Room + Breakfast) VAT included
Double room: 42,05 Euros per person (Room + Breakfast) VAT included
To do the reservation of the accomodation (or the fligth) you can send to the travel agency by e-mail or fax this form [PDF file]
Bookings will be attended by order of appearance, only by fax or e-mail. Confirmation will be send upon receipt of payment. In order to received an e-mail confirmation, please indicated your e-mail address on the accommodation form
Family name |
First name |
University |
Country |
Balseiro |
Paula |
CSIC |
Spain |
Barbero-Liñán |
María |
Technical Universtiy of Catalonia |
Spain |
Basak Gancheva |
Inna |
Universidad Politécnica de Cataluña |
Spain |
Chinea |
Domingo |
University of La Laguna |
Spain |
Díaz |
Viviana Alejandra |
Universidad Nacional del Sur |
Argentina |
Ellis |
Davis |
Imperial College London |
UK |
Ferraro |
Sebastián |
Universidad Nacional del Sur |
Argentina |
Garcia |
Mª Eugenia |
Universidad Nacional de la Plata |
Argentina |
Gay-Balmaz |
Francois |
Ecole Polytechnique Fédérale de Lausanne |
Switzerland |
Guzmán |
Elisa |
Universidad de La Laguna |
Spain |
Hirica |
Iulia Elena Hirica |
University of Bucharest |
Romania |
Iglesias |
David |
CSIC |
Spain |
Jóźwikowski |
Michał |
Polish Accademy of Sciences |
Poland |
Koiller |
Jair |
Fundação Getulio Vargas |
Brazil |
Lafuente |
Ramiro |
Universidad Nacional de la Plata |
Argentina |
Larsen |
Martin |
Technical University of Denmark |
Denmark |
Lázaro Cami |
Andreu |
University of Zaragoza |
Spain |
Lee |
Paul Woon Yin |
University of Toronto |
Canada |
Machado Velho |
Roberto |
Universidade Federal do Rio de Janeiro |
Brazil |
Marrero |
Juan Carlos |
University of La Laguna |
Spain |
Martín de Diego |
David |
CSIC |
Spain |
Martinez |
Eduardo |
Universidad de Zaragoza |
Spain |
Martínez Campos |
Cédric |
CSIC |
Spain |
Muñoz-Lecanda |
Miguel C. |
Universidad Politécnica de Cataluña |
Spain |
Ohsawa |
Tomoki |
University of Michigan |
USA |
Ortega |
Juan Pablo |
CNRS, Univ. de Franché-Comté |
France |
Padron |
Edith |
University of La Laguna |
Spain |
Patak |
Ales |
Masaryk University |
Czech Republic |
Ratiu |
Tudor |
Ecole Polytechnique Fédérale de Lausanne |
Switzerland |
Román-Roy |
Narciso |
Universidad Politécnica de Cataluña |
España |
Salnikov |
Vladimir |
Moscow State Lomonov University |
Russia |
Santamaría |
Ignacio |
Universidad Complutense de Madrid |
Spain |
Santoso |
Jenny |
Universitaet Stuttgart |
Germany |
Schaposnik Massolo |
Laura Patricia |
Universidad de La Plata |
Argentina |
Sosa |
Diana |
University of La Laguna |
Spain |
Stoianov |
George |
EPFL |
Switzerland |
Tori |
Cora Inés |
Universidad Nacional de la Plata |
Argentina |
Turhan |
Murat |
Ecole Polytechnique Fédérale de Lausanne |
Switzerland |
Urban |
Zbynek |
Palacky University in Olomouc |
Czech Republic |
Vilmart |
Gilles |
University of Geneva |
Switzerland |
Zakharova |
Anastasia |
Moscow State Lomonov University |
Russia |
Zorba |
German |
Universidad de La Plata |
Argentina |
Travel information
Flights from continental Europe to Santa Cruz de La Palma has airport code SPC
Iberia: Operates whole week the connection Madrid-La Palma-Madrid on THE EXCEPTION OF SATURDAY.
Spanair operates four times a week the connection Madrid-SPC-Madrid: Tuesdays, Thursdays Saturdays and Sundays
Binter and Islas Airways: The connection Tenerife-La Palma-Tenerife with BINTER and Islas Airways operates every day. THESE RESERVATIONS BETWEEN ISLANDS CAN ONLY BE MADE IN SITU (Canary Islands).
Iberia KLM Air-Berlin Binter
British Airways EasyJet Transavia Islas Airways
Inter-island flights
There are frequent inter-island flights from Tenerife (north airport, TFN) to Santa Cruz de La Palma, and twice a day from Gran Canaria (LPA). The air-line Binter operates these flights. Flights to La Palma should be booked in advance with the main ticket as seats are not always available in these small planes unless booked early. Flights take about 30 minutes from Tenerife and 50 minutes from Gran Canaria.
How arrival to the Hotel from airport
The conference will be hosted by the H10 Taburiente Playa. This hotel is located at Los Cancajos beach , midway from the La Palma airport (3km away) and the city of Santa Cruz de La Palma (5 Km away)
BUS: The number 8 bus leaves from outside the main terminal every 30 minutes between 08.15 and 21.45 each day. It stops 50 metres from the hotel. The bus fare is €1.10. More information from www.transporteslapalma.com
TAXI: Costs about 10 euros from the airport
CAR: Approximate driving time from the airport is 10 minutes and distance is 1.9 miles or 3 kilometres. From the airport, follow the signs for Playa de los Cancajos.
![](https://gmcnet.webs.ull.es/sites/default/files/LaPalma.jpg)
Welcome to II International Summer School on Geometry, Mechanics and Control organised by the Geometry, Mechanics and Control (GMC) Network.
The second edition of the International Summer School on Geometry, Mechanics and Control will be held in La Palma (Canary Islands, Spain) and it will take place in Los Cancajos, June 09-14, 2008.
The school is oriented to young researchers, Ph.D. and postdoctoral students in Mathematics, Physics and Engineering, in particular those interested in focusing their research on geometric control and its applications to mechanical and electrical systems, and optimal control. It is intended to present an up-to-date view of some fundamental issues in these topics and bring to the participants attention some open problems, in particular problems related to applications. The courses will be delivered by some of the best international scientists in the respective topics.
This Summer School is a post-graduate course of CSIC on science and physical technologies.
TUDOR RATIU
Section de Mathématiques, Faculté des Sciences de Base, EPFL, Lausanne, Switzerland
Symmetry in geometric mechanics and dynamics
This course presents the basic notions of geometric mechanics: Hamiltonian systems on symplectic and Poisson manifolds, the momentum map, reduction theory, the slice coordinates, the tangent-normal decomposition of a symmetric system, relative equilibria, and the fundamental notions on linear and nonlinear stability in the context of symmetry.
JAIR KOILLER
Fundação Getulio Vargas, BrazilTopics in vortex dynamics
Topics in vortex dynamics
The mathematics of vorticity started with Euler 250 years ago. We begin with a review of basic hydrodynamics, in the two limits, Eulerian (no viscosity) x Stokesian (infinite viscosity). In the Eulerian realm, vorticity forms the `sinews and muscles' for fluid motion. We focus on 2 dimensional flows, where complex variables and Riemann surfaces come to fore. We will discuss some of the huge amount of classical and recent literature in the area, selecting papers related to the other minicourses.
Towards the end we will present a formulation for vortex motion on surfaces, that we obtained in collaboration with S.Boatto.
JUAN CARLOS MARRERO
Universidad de La Laguna, Spain
Continuous Mechanics and Lie algebroids
The category of Lie algebroids has proves useful to formulate problems in differential fields of mathematics. In the context of Mechanics an ambitions to develop formulations of the dynamical behavior of Lagrangian and Hamiltonian systems on Lie algebroids. In this talk I will present some recent ideas in the above direction. In first part, a Klein formalism for Lagrangian Mechanics and a symplectic formulation for Hamiltonian Mechanics (both in the Lie algebroid setting) is developed. The key idea is to use the prolongation of a Lie algebroid over a fibration. In the second part, I will discuss nonholonomic mechanical systems subjected to linear constraints on Lie algebroids. Different examples which illustrate the resulsts will be also presented.
DAVID MARTIN DE DIEGO
ICMAT, CSIC, Spain
Discrete Mechanics and groupoids
In this survey talk, we will give a review of discrete mechanics, which permits the construction of geometric integrators for Lagrangian mechanical systems. Moreover, we extend this construction to reduced Lagrangian systems using the Lie groupoid theory. Therefore, we will obtain geometric integrators for Euler-Poincaré equations, Lagrange-Poincaré equations...with remarkable geometric properties.
Finally, we will extend these constructions to the case of nonholonomic constraints.