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(s): Yoon-joo Kim (Stony Brook University)
Speaker(s): Yoon-joo Kim (Stony Brook University)
Building: | East Hall |
---|---|
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics |