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Yoon-Joo Kim, Isotrivial Fibrations of Compact Hyper-Kähler Manifolds

February 10, 2023 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of


Yoon-Joo Kim

A compact hyper-Kähler (HK) manifold and its Lagrangian fibration are higher-dimensional generalizations of a K3 surface and its elliptic fibration. A Lagrangian fibration f : XB of a HK manifold is called isotrivial if its smooth fibers are all isomorphic to each other; this is the most special type of Lagrangian fibrations, generalizing the notion of an isotrivial elliptic fibration. In this talk, I will propose a possible classification scheme of HK manifolds admitting isotrivial Lagrangian fibrations. This method in particular rediscovers the two well-known constructions of HK manifolds, the K3[n] and generalized Kummer constructions. I will then specialize the discussion to HK fourfolds. This is joint work with Radu Laza and Olivier Martin.


February 10, 2023
11:00 am - 12:00 pm KST
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IBS Korea, Republic of


Dongseon Hwang
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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