A8: Symplectic geometry of representation and quiver varieties
Albers, Reineke, Pozzetti, Wienhard
Abstract: Representation varieties and (Nakajima) quiver varieties provide families of higher-dimensional symplectic varieties which allow the interaction of representation-theoretic techniques with the study of their (symplectic) geometry. The main focus of this project lies on studying these classes of symplectic varieties with modern tools of symplectic geometry, in particular the study of Lagrangian submanifolds, the investigation of rigidity questions, and the study of magnetic deformations of their geometric structures.