Harvard–MIT Algebraic Geometry Seminar: On the invariance of Hodge numbers under derived equivalence


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January 31, 2023 3:00 pm - 4:00 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Luigi Lombardi - University of Milan

A conjecture of Orlov predicts the invariance of the Hodge numbers of a smooth projective complex variety under derived equivalence. For instance this has been verified in the case of varieties of general type. In this talk, I will examine the case of varieties that are fibered by varieties of general type through the Albanese map. For this class of varieties I will prove the derived invariance of Hodge numbers of type $h^{0,p}$, together with a few other invariants arising from the Albanese map. This talk is based on a joint work with F. Caucci and G. Pareschi.