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Hoang-Chinh Lu, Monge-Ampère Volumes on Compact Hermitian Manifolds

May 4 @ 4:00 pm - 5:00 pm KST

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     Speaker

Hoang-Chinh Lu
Université Paris-Saclay, Orsay
We investigate in depth the behaviour of Monge-Ampère volumes of quasi-psh functions on a given compact hermitian manifold. We prove that the property for these Monge-Ampère volumes to stay bounded away from zero or infinity is a bimeromorphic invariant. We show in particular that a conjecture of Demailly-Paun holds true if and only if such Monge-Ampère volumes stay bounded away from infinity. This is a joint work with Vincent Guedj.

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Date:
May 4
Time:
4:00 pm - 5:00 pm KST
Event Category:
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Venue

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Organizers

Sungyeon Kim
Ngoc Cuong Nguyen (Dept. of Mathematical Sciences, KAIST)
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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