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Benjamin Bakker, A Proof of Matsushita’s Conjecture

April 30 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of


Benjamin Bakker
Univ. Illinois Chicago

Matsushita conjectured that for any Lagrangian fibration f:X→B of a compact hyperkahler manifold X, the fibers deform either maximally or trivially in moduli. In this talk I’ll explain how to prove this conjecture via Hodge theory. I will also discuss some other features of the topology of Lagrangian fibrations and a result about the density of torsion points in sections. Time permitting, I will discuss some more recent work with C. Schnell from this perspective reproving a result of J.-M. Hwang that B is projective space if it is smooth.


April 30
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Jun-Muk 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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