12 oct 2022 -- 11:30
Aula Tricerri, DIMaI, Firenze
Seminario di Geometria del Dini
Abstract.
In the last few years there has been a renewed interest around a conjecture by Griffiths characterizing which should be the positive characteristic forms for any Griffiths positive vector bundle. This conjecture can be interpreted as the differential geometric counterpart of the celebrated Fulton-Lazarsfeld theorem on numerically positive polynomials for ample vector bundles. In this talk, I present some recent results that confirm the above conjecture for several characteristic forms. The positivity of these differential forms is due to a result that provides the version at the level of representatives of the universal push-forward formula for flag bundles valid in cohomology.