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Seungjae Lee, L2 Extension of Holomorphic Jets on Complex Hyperbolic Forms

April 15 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of


Seungjae Lee
IBS, Center for Complex Geometry
As 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.


April 15
11:00 am - 12:00 pm KST
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IBS Korea, Republic of


Jaehyun Hong
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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