Basic Remarks on Lagrangian Submanifolds of Hyper-Kähler Manifolds

Explore the properties of Lagrangian subvarieties in hyper-Kähler manifolds through this one-hour lecture by René Mboro from the University of Miami. Delve into the higher-dimensional analogues of curves on K3 surfaces, focusing on the interaction between Lagrangian subvarieties and Lagrangian fibrations of hyper-Kähler manifolds. Examine the albanese dimension of Lagrangian surfaces and gain insights into the geometric structures of these complex mathematical objects.