1-cycles on a Gushel-Mukai fourfold and the Beauville-Voisin filtration
Dr. Ruxuan Zhang
2022-03-30 15:00-16:00
ZOOM
Speaker: Dr. Ruxuan Zhang (Fudan University)
Time: 15:00-16:00 Mar. 30, 2022 (Wednesday)
Place: Online (Zoom ID: 4663562952 Password: mcm1234)
Title: 1-cycles on a Gushel-Mukai fourfold and the Beauville-Voisin filtration
Abstract: Similarly to the cubic fourfold, a Gushel-Mukai fourfold associates a K3 category and an irreducible holomorphic symplectic variety (the dual double EPW sextic). In this talk, we will discuss the relation between the group of 1-cycles on a Gushel-Mukai fourfold and the group of 0-cycles on the corresponding dual double EPW sextic. We proved that the invariant locus of a general dual double EPW sextic is a constant cycle surface. We also use the Beauville-Voisin filtration on a dual double EPW sextic to define a filtration on the group of 1-cycles on the Gushel-Mukai fourfold and conjecture a sheaf/cycle correspondence for the associated K3 category.
