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Seungjae Lee, Symmetric Differentials on Complex Hyperbolic Forms

April 8 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of


Seungjae Lee
IBS, Center for Complex Geometry
Let Γ be a cocompact torsion-free lattice in the automorphism group of complex unit ball Bn, Aut(Bn). In this talk, we discuss the existence of symmetric differentials on the compact ball quotient Σ = Bn / Γ. Since Σ has a Kähler metric induced by the Bergman metric on the complex unit ball Bn, it has symmetric differentials on SmTΣ* if m is sufficiently large. Unfortunately, finding the smallest degree m which guarantees a symmetric differential on SmTΣ* is difficult in even compact ball quotient cases. Instead of this, I will prove that m ≥ n+2 is a sufficient condition to give a symmetric differential on SmTΣ*. To achieve this goal, I will explain how to induce symmetric differentials by using a recursive formula for -operators and Poincaré series. This is joint work with A. Seo.


April 8
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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