The University of Arizona
Please note that this event has ended!

Stability conditions on Gushel-Mukai fourfolds

Algebraic Geometry Seminar

Stability conditions on Gushel-Mukai fourfolds
Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Xiaolei Zhao, UC Santa Barbara

An ordinary Gushel-Mukai fourfold X is a smooth quadric section of a linear section of the Grassmannian G(2,5). Kuznetsov and Perry proved that the bounded derived category of X admits a semiorthogonal decomposition whose non-trivial component is a subcategory of K3 type. In this talk I will report on a joint work in progress with Alex Perry and Laura Pertusi, in which we construct Bridgeland stability conditions on the K3 subcategory of X. Then I will explain some applications concerning the existence of a homological associated K3 surface and related algebraic constructions in hyperkaehler geometry.