Institut de Mathématiques de Toulouse

Les événements de la journée

2 événements

  • Séminaire d’Analyse Réelle

    Lundi 20 mai 14:00-15:00 - Ivan Gentil - Institut Camille Jordan

    Inégalités de Poincaré et de Beckner à Poids

    Résumé : Dans ce travail avec S. Zugmeyer on essaie de monter des inégalités de types Poincaré (ou Beckner) optimales à poids pour des mesures qui n’ont pas de trou spectral. On s’appuie en particulier sur le critère de Bary-Emery en y ajoutant la dimension.

    Lieu : Salle de conférence MIP (Bâtiment 1R3, 1er étage)

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  • Séminaire doctorants Picard

    Lundi 20 mai 14:00-15:00 - Jade Nardi

    Some applications of the geometry of toric surfaces over a finite field to arithmetic and information theory

    Résumé : Hirzebruch surfaces are, together with the projective plane, the minimal surfaces among toric ones. In this talk, I will first present some handy descriptions of hirzebruch surfaces, without displaying their toric structure.
    Then I will present error-correcting codes defined on these surfaces. I will focus on the computation of the dimension as a nice combinatorial quantity.
    The minimum distance of a code gives an upperbound on the number of rational points on curves lying on the surface. However, curves with many points are known to often be higly reducible. I will thus sharpen this bound for irreducible curves using geometry.
    Finally, if I have some time left, I will talk about PIR protocols : how can error-correctings can enable us to retreive informations on severs without giving any clue about this information to the storage servers ?
    This will be the first time I try to defend my thesis. I have really strong doubts I can talk about everything above in less than a hour. I will gladly listen to your suggestions/remarks !

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