Nguyen Ngoc Cuong, Hölder Continuous Solutions to Complex Monge-Ampère Equations and its Applications II

B266 IBS

     Speaker Nguyen Ngoc Cuong KAIST The Monge-Ampère equations provide Kähler-Einstein metrics on projective manifolds with negative or zero first Chern classes thanks to the AubinYau and Yau theorems. However, most projective manifolds do not have a negative definite or trivial first Chern class. The study of the canonical metric on these manifolds leads

Taeyong Ahn, Positive Closed Currents and Super-potentials

B266 IBS

     Speaker 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

Young-jun Choi, Existence of a Complete Holomorphic Vector Field via the Kähler-Einstein Metric

B266 IBS

     Speaker 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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