Esnault asked whether a smooth complex projective variety with
infinite fundamental group has a nonzero symmetric differential,
meaning a section of some symmetric power of the cotangent bundle.
We prove a partial result in this direction, using...
In this talk I will focus on two examples of K3 categories:
bounded derived categories of (twisted) coherent sheaves and K3
categories associated with smooth cubic fourfolds. The group of
autoequivalences of the former has been intensively studied...
Cubic fourfolds behave in many ways like K3 surfaces. Certain
cubics - conjecturally, the ones that are rational - have specific
K3s associated to them geometrically. Hassett has studied cubics
with K3s associated to them at the level of Hodge...
