Institut de Mathématiques de Toulouse

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  • Systèmes Dynamiques

    Vendredi 23 juin 10:30-11:30 - Hossein Movasati

    Periods of algebraic cycles

    Résumé : The origin of Hodge theory goes back to many works on elliptic, abelian
    and multiple integrals (periods). In this talk, I am going to explain how Lefschetz
    was puzzled with the computation of Picard rank (defined using periods)
    and this led him to consider the homology classes of curves inside surfaces.
    This was ultimately formulated in Lefschetz (1,1) theorem and then the Hodge conjecture. In the second half of the talk, I will discuss periods of algebraic cycles and will give some applications in identifying some components of the Noether-Lefschetz and Hodge locus.
    The talk is based on my book under preparation : A course in Hodge Theory : With Emphasis on Multiple Integrals.

    Lieu : salle 207, bat 1R2

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