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K3 categories, cubic 4-folds, and Beauville-Voisin conjecture

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Shen Junliang (ETH Zürich) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Nov 30, 2017
from 10:30 pm to 11:30 pm
Where Bonn, Seminarraum MPI, Vivatsgasse 7, 53111 Bonn
Contact Name Sachinidis
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We discuss recent progress on the connection between 0-cycles of holomorphic symplectic varieties
and structures of K3 categories. We propose that there exists a sheaf/cycle correspondence for any K3 category,
which controls the geometry of algebraic coisotropic subvarieties of certain holomorphic symplectic varieties. Two concrete cases will be illustrated in details: (1) the derived category of a K3 surface, (2) Kuznetsov category of a cubic 4-fold.