Seminari del Dipartimento



Moduli spaces on the Kuznetsov component of cubic threefolds

Soheyla Feizbakhsh

04-03-2021 - 14:30
modalitĂ  telematica (telematic form)


Consider the non-trivial part of a semi-orthogonal decomposition of the derived category of a cubic threefold, called Kuznetsov component.  In this talk, I will first examine S-invariant Bridgeland stability conditions on the Kuznetsov component which are basically unchanged after the action of the Serre functor S. Then I will describe certain moduli spaces of stable objects with respect to these stability conditions. As an application, I will show a categorical version of the Torelli theorem for cubic threefolds, which says that the cubic threefold can be recovered from its Kuznetsov component. This talk is based on joint work in progress with Laura Pertusi and a group project with A.Bayer, S.V. Beentjes, G. Hein, D. Martinelli, F. Rezaee and B. Schmidt.

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