Daniel Huybrechts : Spherical objects on K3 surfaces and Chow groups

Posted by , part of the Algebraic Geometry Seminar.

At

March 28, 2011, 4 p.m.

In

SEO 636

Abstract

Spherical objects form a distinguished discrete set of objects in the derived category of coherent sheaves on a K3 surface. The subcategory generated by them is of particular interest for the group of autoequivalences as well as for the Chow group of the surface. I will in particular discuss its relation to the Bloch-Beilinson conjecture predicting that over a number field the Chow group is finite dimensional.