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Séminaire Géométrie et applications

organisé par l'équipe Géométrie

  • Manuel Rivera

    String topology: old and new

    9 mars 2026 - 14:00Salle de séminaires IRMA

    String topology studies algebraic structures arising from the interactions of loops and paths on a geometric space. The subject originated in 1999 with work of Chas and Sullivan who discovered that classical Poincaré duality and intersection theory has a rich manifestation on the homology of the free loop space, recovering structures also appearing in mathematical physics such as BV-algebras, TQFTs, and Lie bialgebras. This insight emerged from the broader question: what characterizes the algebraic topology of manifolds? Since then, string topology has developed into a vibrant area, revealing a wealth of new operations describing string interactions, with deep connections to knot theory, symplectic geometry, homotopy theory, homological algebra, and mathematical physics. In this talk, I will survey some developments from the past decade regarding new understanding of the structure and computations in string topology as well as their significance in other fields of mathematics, with focus on operations that capture geometric information beyond the oriented homotopy type of the underlying manifold.

  • Timothée Bénard

    TBA

    16 mars 2026 - 14:00Salle de séminaires IRMA

    TBA