## Algebra

•  Yoonjoo Kim, Stony Brook University
•  The dual Lagrangian fibration of compact hyper-Kahler manifolds
•  09/15/2021
•  4:00 PM - 5:00 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Laure Flapan (flapanla@msu.edu)

A compact hyper-Kahler manifold is a higher dimensional generalization of a K3 surface. An elliptic fibration of a K3 surface correspondingly generalizes into the so-called Lagrangian fibration of a compact hyper-Kahler 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, we will explicitly construct the dual of Lagrangian fibrations of all currently known examples of compact hyper-Kahler manifolds. Passcode: MSUALG

## Contact

Department of Mathematics
Michigan State University