Séminaire de Géométrie Complexe

Kuznetsov componentS of Gushel-Mukai varieties

by Shizhuo Zhang (IMT)

salle 207 bâtiment 1R2 (Institut de Mathématiques de Toulouse)

salle 207 bâtiment 1R2

Institut de Mathématiques de Toulouse


For a large class of Fano threefold, the orthogonal complement of an collection of vector bundles in their bounded derived categories is non-trivial, known as Kuznetsov component. I will introduce the Kuznetsov components of a class of Fano varieties--Gushel-Mukai varieties and discuss their application to birational geometry of these varieties.