Pointwise push-forward formulae for flag bundles and their applications in positivity

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.

Mathematics

Audience: researchers in the topic

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.