IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfacesMPIM

by Xun Lin (MPIM)

Thursday Nov 28, 2024, 10:30 AM → 12:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

We prove the Kuznetsov components of a series of hypersurface in projective space reconstruct the hypersurfaces. Our method allow us to work for hypersurfaces in weighted projective space, and obtain the reconstruction theorem of veronese double cone, which is a long-time open case. I will show how to construct the infinitesimal variation of Hodge structure from certain Kuznetsov components. Using classical generic Torelli theorem, this implies the Kuznetsov components reconstruct the algebraic variety generically. Joint with J. Rennemo and S.Z. Zhang.