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Yoon-Joo Kim, The Dual Lagrangian Fibration of Compact Hyper-Kähler Manifolds

September 30, 2021 @ 11:00 am - 12:00 pm KST



Yoon-Joo Kim
Stony Brook University

A compact hyper-Kähler 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 hyper-Kähler 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-Kähler manifolds.


September 30, 2021
11:00 am - 12:00 pm KST
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Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
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