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DTSTART;TZID=Asia/Seoul:20210415T110000
DTEND;TZID=Asia/Seoul:20210415T120000
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SUMMARY:Seungjae Lee\, L2 Extension of Holomorphic Jets on Complex Hyperbolic Forms
DESCRIPTION:     Speaker\n\n\nSeungjae Lee\nIBS\, Center for Complex Geometry\n\n\n\n\n\nAs the continuation of the previous talk\, I discuss an L2 extension problem of holomorphic jets on compact complex hyperbolic forms. Let Γ be a cocompact torsion-free lattice in the automorphism group Aut(Bn) and Ω be a quotient Bn × Bn given by diagonal action of Γ. In the setting\, Ω becomes a ball-fiber bundle over Σ = Bn / Γ. Since we can identify symmetric differentials on Σ and jets of holomorphic function on D which is the maximal compact analytic variety on Ω\, it is natural to expect that holomorphic function on Ω can be derived by symmetric differentials. In this context\, M. Adachi (2017) extends holomorphic jets on D to weighted L2 holomorphic functions on Σ for the n=1 case. In 2020\, A. Seo and S. Lee generalized his result by developing a Hodge type identity on SmTΣ*. In this talk\, I will explain recent progress and if time is permitted\, I sketch the proof of our result. This is joint work with A. Seo.
URL:https://ccg.ibs.re.kr/event/2021-04-15/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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