This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022. SCV, a central research area in mathematics, focuses on holomorphic functions of several variables, the geometry of analytic spaces, and its intersection with fields such as differential geometry, algebraic geometry, functional analysis, and operator theory.
The first conference, The Conference on Complex Geometric Analysis, took place in January 2022 to celebrate the 65th birthday of Professor Kang-Tae Kim, a leading figure in SCV. The second, held in July 2022, was The POSTECH Conference 2022 on Complex Analytic Geometry, a joint event that included The 14th Korean Symposium of Several Complex Variables and The 28th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications. Both conferences attracted over 50 prominent researchers who gave lectures on the latest developments in the field. This volume serves as a testament to their contributions and the ongoing advancements in SCV research.
Ahn, Taeyong, Equidistribution of inverse images of positive closed currents.- Chan, Mario, Residue functions and extension problems.- Chen, Bo-Yong, Order of hyperconvexity and estimates of Bergman functions.- Cho, Yewon, A survey on pluripotential methods in complex analyticity theorems.- Choi, Young-Jun & Schumacher, Georg, Curvature of direct images in Complex Geometry.- Hwang, Jun-Muk, 1-flat cone structures arising from minimal rational curves.- Joo, Jae-Cheon, CR and almost CR manifolds with noncompact automorphism orbit.- Kim, Sung-Yeon & Seo, Aeryeong, On holomorphicity of totally geodesic isometry between bounded symmetric domains.- Lee, Seungjae, Weighted L2 Bergman Space of Weakly 1-complete Ball-fibered bundles.- Matsumura, Shin-ichi, Note on GL-representation of the fundamental groups of Calabi-Yau varieties.- Matsuzaki, Katsuhiko, Various quasiconformal extensions with applications to Teichmueller spaces.- Nguyen, Ngoc Cuong, A remark on the stability of complex Monge-Ampere equation on compact Hermitian manifold.- Ganji, Masoud & Schmalz, Gerd & Sykes, Daniel, On a construction of Einstein space times.- Shiga, Hiroshige, Characterizations of quasicircles on Riemann surfaces.- Paltis, Ioannis D. & Sun, Lijie, A half plane geometry with unbounded negative curvature.- Yoo, Sungmin, Invariant weighted Bergman metrics on bounded domains.- Yum, Jihun, A survey on Bergman convergence on a tower of coverings.- Zhu, Kehe, Best kernel approximation in reproducing kernel Hilbert spaces.
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