Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties
Laura Pertusi (Università statale di Milano)
Abstract: A generic Gushel-Mukai variety X is a quadric section of a linear section of the Grassmannian Gr(2,5). Kuznetsov and Perry proved that the bounded derived category of X has a semiorthogonal decomposition with exceptional objects and a non-trivial subcategory Ku(X), known as the Kuznetsov component. In this talk we will discuss the construction of stability conditions on Ku(X) and, consequently, on the bounded derived category of X. As applications, for X of even-dimension, we will construct locally complete families of hyperkaehler manifolds from moduli spaces of stable objects in Ku(X) and we will determine when X has a homological associated K3 surface.
This is a joint work with Alex Perry and Xiaolei Zhao.
algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory
Audience: researchers in the topic
Series comments: Weekly research seminar in algebra and geometry.
"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".
Organizers: | Simone Diverio*, Guido Pezzini* |
*contact for this listing |