|Date: Wednesday, November 17, 2021
Location: 4096 East Hall (4:00 PM to 5:30 PM)
Title: The dual Lagrangian fibration of compact hyperKaehler manifolds
Abstract: A compact hyperKaehler manifold is a higher dimensional generalization of a K3 surface. An elliptic fibration of a K3 surface correspondingly generalizes to the so-called Lagrangian fibration of a compact hyperKaehler manifold. It is known that an elliptic fibration of a K3 surface is always self-dual in a certain sense. This turns out to be not the case for higher-dimensional Lagrangian fibrations. In this talk, I will propose a construction for the dual Lagrangian fibration of all currently known examples of compact hyperKaehler manifolds, and try to justify this.
Speaker: Yoon-joo Kim
Institution: Stony Brook University