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. |
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