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  • Post-doc positions
    Oct 4, 2017 to Dec 1, 2017
    lebesgue_money.png Henri Lebesgue Center offers post-doc positions for researchers in mathematics.

    Description

    The Lebesgue Center and its partners, Région Bretagne & Région Pays de la Loire (DéfiMaths project), are opening applications for three post-doctoral positions in mathematics for a period of 2*12 months. The hired applicant will conduct his/her research at one of these Insitutes:

    Irmar of Rennes
    LMJL of Nantes
    LMBA of Brest and Vannes
    LAREMA of Angers

    The positions are open to all research areas present within the four Institutes. They do not include an obligation to teach.

    The net salary will be 2 100 Euros per month.

    Deadlines

    The application is open.

    Sending application: between the 4th of October 2017 and the 1st of December 2017.

    The positions are expected to begin on September 1st or October 1st, 2018.

    Eligibility

    Candidates must have completed a PhD in mathematics, or equivalent, at the date of taking office. The candidate must submit an original research project including a collaboration with one or more local researcher (s) of Irmar, LMJL,LMBA, or LAREMA.

    Applicants must complete the online form where they have to join the following documents:

    • CV describing the candidate's profile and professional experience (list of publications, research topics, activities)
    • Cover letter including the research project
    • At least two letters of recommendation, including one from the local researcher involved in the project

    For more information, please contact us at post-doctorant[at]lebesgue.fr.

    Selection

    The selection is carried by the Lebesgue Scientific Committee.

    Nominees

    2017-2018
    2016-2017
    2015-2016
    2014-2015
    2013-2014

  • Lebesgue Master Scholarship
    Nov 15, 2017 to Mar 15, 2018
    lebesgue_money.png The Lebesgue Center offers 10,000€ scholarships to outstanding mathematics students applying for a master programme in mathematics, for a fist year of Master (M1) or for a second year of Master (M2), in Rennes, Nantes, Angers, Brest or Vannes.

    Eligibility

    The stipend is 10,000 euros per year.

    The M1 scholarships are open to all students who have completed a bachelor's degree in mathematics (or related) at the end of the academic year 2016-2017. The applicants for the Lebesgue M1 scholarship should certify a B1 level of proficiency of the French language.
    A student applying for the first year of a master (M1) will be allowed to apply for another scholarship for the second year (M2).

    The M2 scholarships are open to all students who have completed the first year of a master in mathematics (or related) at the end of the academic year 2016-2017.
    The courses of the second year of Master (M2) may be taught in English.

    The application of the Lebesgue scholarship is independent from the application to Masters programmes, whom modalities are indicated in the dedicated websites.

    Deadlines

    The application for the lebesgue Master Scholarship is open until March 15th, 2018.
    The results of the selection process will be edited in April 2017.

    Contact

    Applicants can obtain more information about the masters programmes on the page: Information.

    Application

    Applicants must complete the online form and attach the documents:
    - CV
    - Transcripts
    - Cover letter
    - One or more letters of recommendation.

    Applicants must submit the application only when it is complete. Only electronic submission using the online form will be considered.

    Selection

    The selection will be carried out by the Lebesgue Scientific Committee and the heads of the Masters programmes. It will be based on the academic quality of the applicant.

  • Mathematic world
    Nov 23, 2017

    Présentation

    Le séminaire, de fréquence trimestrielle, s'adresse en priorité aux étudiants de licence. Les exposés de 45 minutes sur des sujets variés seront suivis d'un repas convivial.

    12:30 → 13:15 : exposé et questions
    13:15 → 14:00 : repas et discussions

    Lieu

    Le séminaire a lieu à l'Irmar, bâtiment 22-23, rez-de-chaussée, salle 004-006.

    Prochain exposé

    Intervenant: François Maucourant

    Sujet: Les nombres p-adiques

    En 1897, Kurt Hensel a introduit une nouvelle classe de nombre, les nombres "p-adiques", qui sont désormais des acteurs majeurs en théorie des nombres. On expliquera comment les écrire, calculer avec, et quelques applications.

    Date: Jeudi 23 novembre 2017

    Inscription

    Les inscriptions en ligne sont ouvertes jusqu'au dimanche 19 novembre 2017.

  • Colloquium de mathématiques de Rennes
    Nov 27, 2017

    Dans la suite, le colloquium de mathématiques de Rennes reprend le lundi 27 novembre à 16h30 en salle 04-06 du rez-de chaussée du bâtiment 22, sur le Campus de Beaulieu.

    A l'honneur cette fois-ci Irène Waldspurger (CNRS-CEREMADE, Paris Dauphine) qui abordera les "Problèmes de reconstruction de phase". Plus d'information ici

  • School - Masterclass 2017
    Dec 19, 2017 to Dec 21, 2017

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    Angers, from December 19th to December 21st

    Organization board: Etienne Mann

    We organize a masterclass in Angers, from 19th to 21st of December, 2017. Lectures will be in the morning sessions. We will have two parallel sessions:

    • Etienne Mann : Introduction to algebraic stacks
      We will introduce the notion of fibered category, Grothendieck topology and stacks. We will illustrate these notions on simple examples. These lectures are for Master (or PhD) students who had followed a introduction to algebraic geometry that is algebraic varieties and sheaves.
    • Loic Chaumont: Application of the matrix-tree-theorem

    The organisation board will pay the housing with breakfast and the lunches. The dinners are not payed by the organizers. For the travel expenses, we will do our best in the limit of our budget.

    Deadline 15th novembre. Limit 30 participants maximum.

  • Workshop - Numerical methods for algebraic curves
    Feb 19, 2018 to Feb 23, 2018

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    Rennes, from February 19th to February 23rd

    Organization board: Xavier Caruso, David Lubicz, Christophe Ritzenthaler, Marie-Françoise Roy

    This workshop will bring together researchers in complex and real algebraic geometry and applied mathematics (physics and cryptography) to discuss numerical methods and open problems on algebraic curves. There will be a number of introductory talks to each of the following topics and invited lectures from specialists: - Theoretical physics/DPE - Computations with the Jacobian - Random real topology - Complexity of computing topology of real algebraic curves - p-adic methods and applications to cryptography

  • Conference - Mathematics and Enterprises Days
    Apr 12, 2018 to Apr 13, 2018

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    Vannes, from April 12th to April 13th

    Organization board: Christophe Berthon, Eric Darrigrand, Emmanuel Frénod, Fabrice Mahé, Loïc Chaumont

    Pour répondre aux besoins croissants en moyens de calcul, les entreprises et les laboratoires de recherche développent intensément de nouvelles méthodes numériques, des logiciels et du matériel. L'objectif de ces journées est de permettre aux différents acteurs d'échanger sur les dernières avancées pour améliorer les performances du calcul scientifique. Des exemples d'applications seront présentés dans plusieurs domaines : auto-apprentissage, consommations électriques, télédétection, biologie...
    Ces journées sont organisées par l’agence Lebesgue de mathématiques pour l'innovation dont une des missions est de promouvoir les relations entre les mathématiciens et les scientifiques des entreprises.
    L’Agence est un interlocuteur naturel pour tout acteur du monde industriel confronté à un problème mathématique identifié. Il s’agit d’offrir les meilleures compétences mathématiques disponibles dans les Unités Mixtes de Recherche en Bretagne et Pays de la Loire, en particulier dans le domaine du calcul scientifique.

  • School - Fundamentals and practice of finite elements
    Apr 16, 2018 to Apr 20, 2018

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    Roscoff, from April 16th to April 20th

    Organization board: Martin Costabel, Eric Darrigrand, Monique Dauge, Yvon Lafranche

    Scientific board: Monique Dauge (Univ. Rennes 1), Ilaria Perugia (TU Wien)

    This school will combine high-level courses on theoretical aspects of finite elements, with more practical implementation issues via an open source C++ library . We propose three different activities:

    1) The three main courses (ca 5h each) given by

    Ricardo Nochetto, University of Maryland, USA
    Adaptive Finite Element Methods: Convergence and Optimality

    Paul Houston, University of Nottingham, UK
    Discontinuous Galerkin Finite Element Methods on Polytopic Meshes

    Ralf Hiptmair, ETH Zürich, Suisse
    Boundary Element Methods: Design, Analysis, and Implementation

    2) An initiation to the finite element library XLiFE++ by Eric Lunéville, POEMS team, ENSTA ParisTech, followed by several practical sessions on computers.

    3) A few mini-courses about different related questions (eigenvalues, integral equations, fast methods, singularities) given by members of the organization board.

Conference - Loop spaces in geometry and topology

Nantes, from Sept 1st to 5th, 2014
Contact: H. Abbaspour
Organisation board: H. Abbaspour (Nantes), A. Oancea (Paris), N. Wahl (Copenhagen)

One-dimensional objects have played a central role in geometry for a long time. From lines in Euclidean spaces to geodesics in Riemannian manifolds, particular classes of real one-dimensional sub-objects of a given space, i.e. loops or paths, have been successfully used as probes for the ambient geometry. At the local level, Riemannian curvature can be classically recovered from the behavior of geodesic paths via the Jacobi equation. At the global level, landmark results such as Morse's development of the calculus of variations in the large (1929), Berger's classification of holonomy groups (1953), Gromoll and Meyer's homological criterion for the existence of infinitely many closed geodesics (1969), or its reinterpretation by Sullivan-Vigué from the viewpoint of rational homotopy theory (1976), have shown deep connections between spaces of loops and analysis, Lie group theory, or topology. From a quite different perspective, string theory considers loops and paths (strings), as well as Riemann surfaces (worldsheets), as the basic building blocks for a unified theory of matter.

On the mathematical side, symplectic geometry appears to be the most natural setup within which real 1-dimensional objects (loops/paths) interact with complex 1-dimensional objects (Riemann surfaces). Gromov's theory of pseudo-holomorphic curves (1985) and its reinterpretation by Floer as a variational theory for the unregularized gradient flow of the symplectic action functional (1987) proved to be a successful tool in order to address the Arnold and Weinstein conjectures (1986, 1979) on the existence of closed orbits/chords for Hamiltonian systems. The geometric structure of compactified moduli space of pseudo-holomorphic curves gives rise to sophisticated algebraic structures, and in particular to various homology theories such as Floer homology, (embedded) contact homology, Seiberg-Witten-Floer homology, ... In all of these theories, one introduces higher products that account for all the non-canonical choices that one needs to make in order to lift an associative product from homology to the chain level. These operations get organized into a differential which is a coderivation on a larger object known to algebraic topologists as the “Bar construction”.

Almost simultaneously and inspired by the algebraic structures encountered in quantum field theory, algebraic topologists have been trying to understand the chain complexes of free loop and path spaces of a manifold. Chas and Sullivan's natural idea of cutting and pasting loops/paths together with considering Poincaré duality for the underlying manifold has led to a plethora of operations and opened a new field known as “string topology”. In parallel to this topological approach, a lot of effort was put into understanding the algebraic structure of “algebraic loop spaces”, modeled as Hochschild complexes of DGAs or categories equipped with further structures that account for Poincaré duality in the topological setting.

The various procedures for assigning a linear object (complex, homology, category...) to a nonlinear object gave rise to rich homotopical structures. There are many striking (algebraic) similarities between the constructions and difficulties encountered in each of the previous three settings. The common desire to reorganize non-canonical choices into higher homotopies and categories has also led to more elegant formulations of geometric and topological statements in terms of derived categories and functors.

We think that the time is ripe to bring together experts and young mathematicians working in these areas. We expect fruitful interactions and hope to harvest inspiration and new ideas. To this end, we intend to have 5 mini-courses accessible to non-experts, followed by a few talks dealing with more recent developments.

Partners

Irmar LMJL ENS Rennes LMBA LAREMA

Affiliation

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL