Sung Yeon Kim, Nonsolvability of Lewy Operator and Non-realizable CR Structures
B266 IBS, Korea, Republic of
Several Complex Variables Seminar
Speaker Sung Yeon Kim IBS, Center for Complex Geometry
12 events found.
Several Complex Variables Seminar
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Jihun Yum, Characterization of Diederich-Fornaess and Steinness Indices in Cn
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Jihun Yum IBS, Center for Complex Geometry Let Ω be a bounded pseudoconvex domain in Cn with smooth boundary ∂Ω. The Diederich-Fornaess index and the Steinness index of Ω are defined by DF(Ω) := supρ { 0 < η < 1 : -(-ρ)η is strictly plurisubharmonic on Ω ∩ U for some …
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Jihun Yum, Characterization of Diederich-Fornaess and Steinness Indices in Complex Manifolds
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Jihun Yum IBS, Center for Complex Geometry Let Ω be a relatively compact pseudoconvex domain in a complex manifold X with smooth boundary ∂Ω. The Diederich-Fornaess index and the Steinness index of Ω are defined by DF(Ω) := supρ { 0 < η < 1 : -(-ρ)η is strictly plurisubharmonic on Ω …
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Taeyong Ahn, Positive Closed Currents and Super-potentials
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Taeyong Ahn Inha University, Department of Mathematics Education In this talk, we briefly review the notion and properties of positive closed currents and super-potentials. As an application, we discuss the equidistribution of positive closed currents on the projective space. We also discuss the difficulty of the extension of the result to a …
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Young-jun Choi, Existence of a Complete Holomorphic Vector Field via the Kähler-Einstein Metric
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Young-jun Choi Pusan National University A fundamental problem in Several Complex Variables is to classify bounded pseudoconvex domains in the complex Euclidean space with a noncompact automorphism group, especially with a compact quotient. In the results of Wong-Rosay and Frankel, they make use of the "Scaling method" for obtaining an 1-parameter family …
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Hoseob Seo, On Singularities of Toric Plurisubharmonic Funcitons
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Hoseob Seo Research Institute of Mathematics, Seoul National University In this talk, we discuss recent progresses on singularities of toric plurisubharmonic functions. First, we review the notion of Newton convex bodies of toric plurisubharmonic functions on a polydisk D(0,r) ⊂ Cn. As an application, we show that the cluster points of jumping …
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Dano Kim, Canonical Bundle Formula and Degenerating Families of Volume Forms
on-lineSeveral Complex Variables SeminarSpeaker Dano Kim Department of Mathematical Sciences, Seoul National University We will talk about a metric version of Kawamata's canonical bundle formula for log Calabi-Yau fibrations: the L2 metric carries singularity described by the discriminant divisor and the moduli part line bundle has a singular hermitian metric with vanishing Lelong numbers. This answers …
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Pak Tung Ho, Chern-Yamabe Problem
on-lineSeveral Complex Variables SeminarSpeaker Pak Tung Ho Sogang University I will explain what the Chern-Yamabe problem is, and talk about the Chern-Yamabe flow which is a geometric flow approach to solve the Chern-Yamabe problem. I will also mention other results related to the Chern-Yamabe problem.
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Jihun Yum, Limits of Bergman kernels on a Tower of Coverings of Compact Kähler Manifolds
B266 IBS, Korea, Republic ofSeveral Complex Variables SeminarSpeaker Jihun Yum IBS, Center for Complex Geometry The Bergman kernel BX, which is by the definition the reproducing kernel of the space of L2 holomorphic n-forms on a n-dimensional complex manifold X, is one of the important objects in complex geometry. In this talk, we observe the asymptotics of the Bergman kernels, …
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Gunhee Cho, The Lower Bound of the Integrated Carathéodory-Reiffen Metric and Invariant Metrics on Complete Noncompact Kähler Manifolds
on-lineSeveral Complex Variables SeminarSpeaker Gunhee Cho UCSB We seek to gain progress on the following long-standing conjectures in hyperbolic complex geometry: prove that a simply connected complete Kähler manifold with negatively pinched sectional curvature is biholomorphic to a bounded domain and the Carathéodory-Reiffen metric does not vanish everywhere. As the next development of the important recent …
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Kang-Hyurk Lee, Smoothly Bounded Domain with a Compact Quotient
on-lineSeveral Complex Variables SeminarSpeaker Kang-Hyurk Lee GNU The Wong-Rosay theorem says that a smoothly bounded domain covering a compact complex manifold is biholomorphically equivalent to the unit ball. The general methodology of this theorem is the affine rescaling method. In this talk, I will introduce the potential rescaling method, an alternative of the affine rescaling. This …
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Duc-Viet Vu, Moser-Trudinger Inequalities and Complex Monge-Ampere Equations
on-lineSeveral Complex Variables SeminarSpeaker Duc-Viet Vu Cologne I present a version of the Moser-Trudinger inequality in the setting of complex geometry. As a very particular case, the result already gives a new Moser-Trudinger inequality for functions in the Sobolev space W1,2 of a domain in R2. As an application, we deduce a new necessary condition for …