Seminari del Dipartimento

 

Geometria

On the invariance of Hodge numbers under derived equivalence

Federico Caucci


21-04-2022 - 14:15
Largo San Leonardo Murialdo, 1

 

A conjecture often attributed to Kontsevich predicts that smooth projective varieties with equivalent bounded derived categories have equal Hodge numbers. In this talk, I will report on a joint work with Lombardi and Pareschi where we prove Kontsevich's conjecture for a certain class of varieties of arbitrary dimension. I will also provide an overview on the derived invariance problem, that is how much of the geometry of a variety is encoded by its derived category.

Il seminario sarà presentato in presenza nell'aula M2. Tutti gli afferenti all'università Roma Tre potranno accedere previa esibizione del greenpass. Gli esterni che fossero interessati a partecipare possono contattare gli organizzatori all'email amos.turchet@uniroma3.it.

Il seminario sarà anche seguibile via Teams seguendo il seguente Link:
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org: Turchet Amos

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