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Young-jun Choi, Existence of a Complete Holomorphic Vector Field via the Kähler-Einstein Metric

May 12 @ 4:00 pm - 5:00 pm KST

B266, IBS Korea, Republic of


Young-jun Choi
Pusan National University

A fundamental problem in Several Complex Variables is to classify bounded pseudoconvex domains in the complex Euclidean space with a noncompact automorphism group, especially with a compact quotient. In the results of Wong-Rosay and Frankel, they make use of the “Scaling method” for obtaining an 1-parameter family of automorphisms, which generates a holomorphic vector field.

In this talk, we discuss the existence of a nowhere vanishing complete holomorphic vector field on a strongly pseudoconvex manifold admitting a negatively curved Kähler-Einstein metric and discrete sequence of automorphisms by introducing the scaling method on potentials of the Kähler-Einstein metric.

This is a joint work with Kang-Hyurk Lee in Gyenongsang National University.


May 12
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Sungyeon Kim
IBS 이산수학그룹 Discrete Mathematics Group
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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