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Speaker:
Shen Junliang
Affiliation:
ETH Zürich
Date:
Thu, 30/11/2017 - 10:30 - 12:00
Location:
MPIM Seminar Room
Parent event:
Seminar Algebraic Geometry (SAG) 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.
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