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DTSTART;TZID=Asia/Seoul:20230210T110000
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SUMMARY:Yoon-Joo Kim\, Isotrivial Fibrations of Compact Hyper-Kähler Manifolds
DESCRIPTION:     Speaker\n\n\nYoon-Joo Kim\nMPI-Bonn\n\n\n\n\n\n\nA 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 : X → B 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.
URL:https://ccg.ibs.re.kr/event/2023-02-10/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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