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Séminaire Arithmétique et géométrie algébrique

organisé par l'équipe Arithmétique et géométrie algébrique

  • Lyalya Guseva

    Full exceptional collections on Isotropic Grassmannians

    23 janvier 2025 - 14:00Salle de séminaires IRMA

    The bounded derived category of coherent sheaves D(X) is an important invariant of an algebraic variety X. While the structure of derived categories is generally quite intricate, in certain cases when D(X) admits a so-called full exceptional collection, D(X) can be described explicitly. Some of the earliest examples of full exceptional collections were constructed by Kapranov in 1983 for classical Grassmannians. Since then, a folklore conjecture says that full exceptional collections exist in the derived categories of all rational homogeneous varieties. In my talk I will outline the proof of this conjecture for all rational homogeneous varieties associated with symplectic groups. This is joint work with Sasha Novikov.