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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

### Speaker

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.

## Details

Date:
April 15
Time:
11:00 am - 12:00 pm KST
Event Category:
Event Tags:

## Venue

B266
IBS Korea, Republic of

Jaehyun Hong