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DTSTART;TZID=Asia/Seoul:20210512T160000
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CREATED:20210506T041021Z
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SUMMARY:Young-jun Choi\, Existence of a Complete Holomorphic Vector Field via the Kähler-Einstein Metric
DESCRIPTION:     Speaker\n\n\nYoung-jun Choi\nPusan National University\n\n\n\n\n\n\nA 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. \nIn 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. \nThis is a joint work with Kang-Hyurk Lee in Gyenongsang National University.
URL:https://ccg.ibs.re.kr/event/2021-05-12/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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