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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20240822T160000
DTEND;TZID=Asia/Seoul:20240822T170000
DTSTAMP:20260416T091715
CREATED:20240816T065946Z
LAST-MODIFIED:20240819T044606Z
UID:3270-1724342400-1724346000@ccg.ibs.re.kr
SUMMARY:Xiaojun Huang\, Bounding a Levi-flat Hypersurface in a Stein Manifold
DESCRIPTION:    Speaker\n\n\nXiaojun Huang\nRutgers Univ\n\n\n\n\n\n\nLet M be a smooth real codimension two compact submanifold in a Stein manifold. We will prove the following theorem: Suppose that M has two elliptic complex tangents and suppose CR points are non-minimal. Assume further that M is contained in a bounded strongly pseudoconvex domain. Then M bounds a unique smooth up to M Levi flat hypersurface M̂ that is foliated by Stein subspace diffeomorphic to the ball. Moreover\, M̂ is the hull of holomorphy of M. This subject has a long history of investigation from E. Bishop and Harvey-Lawson. I will discuss both the history and techniques used  in the proof of the above mentioned theorem.
URL:https://ccg.ibs.re.kr/event/2024-0822/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Several Complex Variables Seminar
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