Abstract：Let $X$ be a not necessarily smooth Fano variety and denote by \Ku(X) the non-trivial semi-orthogonal component. The Categorical Torelli problem asks if \Ku(X) determines the isomorphism class of $X$. In my talk, I will briefly talk about the history of this topic including the known results and popular strategies to prove these results. Then I will survey the recent advances for (wei...
AbstractHuybrechts proved that a stability condition on a K3 surface is determined by the stability of spherical objects. Motivated by the study of the Thurston compactification of spaces of stability conditions expected by Bapat, Deopurlar and Licata, I would like to show that a stability condition on a K3 surface is determined by the mass of spherical objects. This talk is based on the joint ...
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