Activity

 

 

Introduction:

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.

Courses:

TUDOR RATIU

Section de Mathématiques,  Faculté des Sciences de Base, EPFL,  Lausanne, Switzerland

Symmetry in geometric mechanics and dynamics

Presentation

Material

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

Presentation

Material

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
 

Presentation                slide1   slide2

Material

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

Presentation

Material

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.

Schedule:

 

 

 

Monday, June 9

Tuesday, June 10

Wednesday, June 11

Thursday, June 12

Friday, June 13

Saturday, June 14

 

9:00-9:30

Opening

 

 

 

 

 

 

9:30-11:00

Symmetry in geometric mechanics and dynamics

Symmetry in geometric mechanics and dynamics

 

Symmetry in geometric mechanics and dynamics

Symmetry in geometric mechanics and dynamics

 

 

 

11:00-11:30

 

Coffee

 

Coffee

Visit to the Observatorio del Roque de los Muchachos

 

Coffee

 

Coffee

 

 

 

11:30-13:00

 

Topics in vortex dynamics

Topics in vortex dynamics

 

 

Survey Talk

 

Survey Talk

Excursion

 

 

13:00-15:30

Lunch break

 

Lunch break

Lunch break

Lunch break

Lunch break

 

15:30-16:30

 

 

 

16:00-17:30

Symmetry in geometric mechanics and dynamics

 

Topics in vortex dynamics

Symmetry in geometric mechanics and dynamics

 

 

Topics in vortex dynamics

 

Topics in vortex dynamics

 

 

16:30-17:00

Coffee

 

17:00-18:00

 

 

 

 

 

Topics in vortex dynamics

 

 

 

 

18:00-19:00

 

 

 

Session for students

 

   

 

Registration:

Contact: gmcnetatull [dot] es

In order to register, please send the following information by e-mail to gmcnetatull [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 gmcnetatull [dot] es or by fax to the number +34922318145, no later than 15 May, 2008

Financial Support:

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 gmcnetatull.es your CV (and grades certificate in case you are an undergraduate student) by April 15, 2008.

 

Lodging reservation:

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

Participants:

 

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

 

Committees:

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

How to get here:

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.

Link:

http://webpages.ull.es/users/gmcnet/Summer-School08/