6 may 2021 -- 14:30
DIMaI, Firenze (online)
Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze
Abstract.
In this talk, after recalling some basics on flag bundles associated to holomorphic vector bundles, I present a result that provides the pointwise, Hermitian version of a universal push-forward formula for flag bundles valid in cohomology. As an application, I explain how to use the above result to obtain the positivity of several polynomials in the Chern forms of a Griffiths positive vector bundle. This gives a partial confirmation of a conjecture proposed by Griffiths in the late sixties, which has raised interest in the past as well as in recent years. This talk is based on a joint work with S. Diverio.