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DTSTART;TZID=Asia/Seoul:20210408T110000
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SUMMARY:Seungjae Lee\, Symmetric Differentials on Complex Hyperbolic Forms
DESCRIPTION:     Speaker\n\n\nSeungjae Lee\nIBS\, Center for Complex Geometry\n\n\n\n\n\nLet 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.
URL:https://ccg.ibs.re.kr/event/2021-04-08/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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