Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Pointwise push-forward formulae for flag bundles and their applications in positivity

Filippo Fagioli (Università degli Studi di Firenze)

created by daniele on 04 Mar 2021
modified on 26 Apr 2021

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


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.

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