Activity

Institut Henri Poincaré, Paris, France. January 13-15, 2016.

Introduction:

The 10th International Young Researchers Workshop on Geometry, Mechanics and Control will be the tenth anniversary of the series of workshops that have previously taken place in Madrid (2006, 2007), Barcelona (2008), Ghent (2009), La Laguna (2010), Coimbra (2012),  Madrid (2012) , Barcelona (2013) and Zaragoza (2015).  Its goal is to bring together young researchers working in geometry, mechanics and control theory and to offer a platform to present the results of their research to an international audience.

The core of the workshop consists on 3 mini-courses, of 4 hours each, which serve as an introduction to different topics related to geometric structures in mechanics and control theory. The courses will be at a PhD and postdoctoral level, and it is expected that the young researchers will be, at the end of the workshop, able to access to the recent literature on the corresponding topics.

Along with the courses, there will be contributed short talks (30 minutes) and a poster session. Attendance is, of course, open to anyone, but in particular young researchers (PhD-students, recent PhD's) are encouraged to submit a talk or poster proposal.

The following is a non-exhaustive list of topics that can be covered during the workshop:

  • Geometry: (multi)symplectic geometry, Poisson and Jacobi manifolds, Lie groups, Lie algebroids and Lie groupoids.
  • Mechanics: Lagrangian and Hamiltonian systems, non-holonomic mechanics, calculus of variations, mechanical systems with symmetry, conservation laws and reduction, classical field theories, geometric integration of mechanical systems, geometric quantization.
  • Control: optimal control theory, control of mechanical systems, geometric control.

Important dates:

  • Deadline for registration: December 24, 2015.
  • Deadline for submitting abstracts for short talks/poster: November 1, 2015.

Send the title and abstract to iyrw.parisatgmail.com

Note that a limited number of short talks will be accepted. The scientific committee will select them after the deadline date.

    Courses:

    • Ioan Mărcuț, Radboud Universiteit Nijmegen,  The Netherlands.

      Dirac structures were first defined in the PhD thesis (1987) of Ted Courant, Alan Weinstein's student. Dirac geometry is a common setting for several geometric structures on smooth manifolds: Poisson structures, closed 2-forms and foliations, but also generalized complex structures, the "complexified" version of Dirac geometry. In this introductory mini-course we will discuss the basics of Dirac geometry: definition, examples, decomposition into pre-symplectic leaves, submanifolds of Dirac manifolds, operations with Dirac structures, presymplectic realizations and presymplectic groupoids. These concepts will be illustrated in the setting of Poisson geometry, where many of them originate; however, many classical constructions in Poisson geometry turn out to be more natural for Dirac manifolds.

      • Giuseppe Notarstefano, Università del Salento, Italy.
          Distributed methods for optimization in control.

        Large-scale cyber-physical network systems have become ubiquitous in everyday life. Cooperative robots, sensor networks, smart grids and social-networks are just few examples. An important prerequisite for numerous estimation, learning, decision and control tasks arising in such complex systems is the solution of optimization problems in a distributed, peer-to-peer framework. In this new set-up, processing nodes have limited knowledge of the optimization problem and aim at solving it in a cooperative way.

        In this course I will introduce the main mathematical set-up for distributed optimization by combining proper definitions from optimization, systems and graph theories. Then, I will recall some main concepts from convex optimization and duality theory, and show how they can be used to design distributed optimization algorithms. In particular, I will present some basic distributed primal, primal-dual and dual algorithms working in synchronous networks with fixed communication topology. In the second part of the course I will highlight some important challenges that distributed algorithms need to address as, e.g., asynchronous and unreliable communication, and present novel algorithms that can handle such issues. Finally, I will show some important control application in which these methods can be applied.

      • Maxime Zavidovique, Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, France.
          Introduction to discrete weak KAM theory.

        The goal of these lectures will be to give an account of weak KAM theory through its discrete version. We will present the main topics of weak KAM theory: the notion of subsolutions and of weak KAM solutions, the definition and main properties of the Aubry set, regularity properties of subsolutions and minimizing measures.

         

        Schedule:

         

        Wednesday 13

        Thrusday 14 Friday 15
        9:00-9:30 Registration    
        9:30-11:00 Zavidovique Marcut Notarstefano
        11:00-11:30 Coffee Coffee Coffee
        11:30-13:00 Marcut Notarstefano Zavidovique
               
        15:00-15:30 Jozwikowski Petkov Arnaudon
        15:30-16:30 Notarstefano Zavidovique Marcut
        16:30-17:00 Coffee Coffee
        Poster session
        Coffee
        17:00-17:30 Chupin Sato
        17:30-18:00 Rouot Margalef Bentabol  
        • List of short talks:

        Stochastic Geometric Mechanics: some toy examples, A. Arnaudon​ (Imperial College London, UK).

        Earth-Moon Lyapunov to Lyapunov Mission: Long Time Duration, Low-Thrust Transfer, M. Chupin (Universtié Pierre et Marie Curie, France).

        A covariant approach to subRiemannian geodesic problems, M. Jozwikowski (IMPAN, Poland).

        Hamiltonian dynamics of the parametrized electromagnetic field, J. Margalef Bentabol (UC3M-CSIC, Spain).

        The Lichnerowicz and Obata type results on a quaternionic contact manifold, A. Petkov (University of Sofia "St. Kliment Ohridsky", Bulgaria).

        Purcell swimmer vs Copepod swimmer, J. Rouot (INRIA Sophia Antipolis, France).

        Time-dependent geometric mechanics and variational integrators, R. T. Sato Martín de Almagro (ICMAT-UCM, Spain).

         

        Registration:

        Please fill in this form before December 24, 2015.

        If you have any question, please contact the organization at iyrw.parisatgmail.com .

        Lodging reservation:

        The organization will not provide support to book accommodation. Here you can find a list of hotels in the area of IHP.

        Participants:

        Updated on January 12, 2016.


        First name: Last name: Institution: Country:
        Entisar Ali Institut Fourier France
        Alexis Arnaudon Imperial College London United Kingdom
        Abdelhalim Azzouz  University of saida  Algeria 
        Amine Bahayou Kasdi Merbah University Algeria
        Frederic Barbaresco Thales France
        Joël Bensoam IRCAM France
        Olivier Brahic UFPR Brazil
        Jean-Baptiste Caillau UBFC & CNRS / INRIA France
        Marco Caponigro CNAM France
        Zheng Chen University Paris-Sud France
        Maxime Chupin LJLL-UPMC France
        Benjamin Couéraud Université d'Angers France
        René Dorville Université des Antilles Martinique
        Alfonso Garmendia KU LEUVEN Belgium
        Jordi Gaset UPC Spain
        François Gay-Balmaz CNRS, ENS-Paris France
        Mohammed Amine Ghezzar

        UMAB-Mostaganem/UPJV-Amiens

        Algérie/France
        Rabeh Ghoudi University of Gabes Tunisia
        Fouzi Hathout Université de Saïda Algerie
        Malte Heuer University of Sheffield UK
        Frederic Jean ENSTA Paris Tech France
        Michał Jóźwikowski IM PAN Polska
        Daehwan Kim Pusan National University Republic of Korea
        Victor Lelin Polytechnique France
        Manuel López ICMAT Spain
        Juan Margalef Bentabol UC3M-CSIC Spain
        Saliha Marir

        UMAB-Mostaganem/UPJV-Amiens

        Algérie/France
        Juan Carlos Marrero University of La Laguna Spain
        Sofya Maslovskaya ENSTA France
        Rafik NASRI Tahar Moulay university-Saida Algeria
        Quang Huy Nguyen Université Paris-Sud France
        Michaël Orieux Université Paris Dauphine France
        Ashraf Owis Padova University Italy
        Edith Padrón University of La Laguna Spain
        Alexander Petkov Sofia University, Faculty of Mathematics and Informatics Bulgaria
        Nastassia Pouradier Duteil Rutgers, the State University of New Jersey USA
        Pedro Daniel Prieto-Martínez Universitat Politècnica de Catalunya Spain
        Kumar Pushpendra Graphic Era University, Dehradun India
        Zohreh Ravanpak University of La Laguna Spain
        Amel Redjil Université d'Annaba Algérie
        Xavier Rivas UPC Spain
        Mikołaj Rotkiewicz Warsaw University Poland
        Jérémy Rouot Inria Sophia Antipolis France
        Khadidja Sabri Université d'Oran Algeria
        Achille Sassi Airbus DS / ENSTA ParisTech France
        Ouakkas Seddik Université de Saida Algérie
        Rodrigo Takuro Sato Martín de Almagro ICMAT Spain
        Guokuan Shao University Paris-Sud France
        Ebtsam Taha Cairo University Egypt
        Mariusz Tobolski University of Warsaw Poland
        Marcin Zając University of Warsaw, Faculty of Physics Poland
        Marco Zambon KU Leuven Belgium
        Jiamin Zhu LJLL, UPMC France

         

        Committees:

        Organizing Committee:

        • Jean-Baptiste Caillau (Université de Bourgogne, Franche-Comté, France)
        • François Gay-Balmaz (CNRS, École Normale Supérieure, France)
        • Frédéric Jean (ENSTA ParisTech, France)
        • Jean-Pierre Marco (Université Pierre et Marie Curie, France)

        Scientific Committee:

        • Paula Balseiro (Universidad Federal Fluminense, Brazil)
        • María Barbero (Universidad Politécnica de Madrid and ICMAT, Spain)
        • Cédric M. Campos (Universidad de Valladolid, Spain)
        • Sebastián Ferraro (Universidad Nacional del Sur, Argentina)
        • François Gay-Balmaz (CNRS, École Normale Supérieure, France)
        • Bahman Gharesifard (Queen’s University, Canada)
        • Miguel Rodríguez-Olmos (Universitat Politècnica de Catalunya, Spain)
        • Marco Zambon (KU Leuven, Belgium)

        How to get here:

        In this link you will find how to get to IHP where the event will take place.