Bonn Math Events

IVHS via Kuznetsov components and categorical Torelli theorems for weighted hypersurfacesMPIM

by Xun Lin (MPIM)

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

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

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.