Conference Summary: Seminar on Several Complex Variables and Complex Geometry
The Seminar on Several Complex Variables and Complex Geometry was successfully held from July 27 to August 02, 2025 at the Tianyuan Mathematical Research Center in Yiliang County, Kunming City, Yunnan Province. The seminar was organized by Professor Xiangyu Zhou (Academy of Mathematics and Systems Science, Chinese Academy of Sciences), Professor Yum-Tong Siu (Harvard University), and Professor John Erik Fornæss (Norwegian University of Science and Technology).
Around 50 researchers from institutions across China and abroad participated in the conference. Attendees included leading experts in the field of several complex variables and complex geometry, senior experts and young researchers from institutions and universities such as Chinese Academy of Sciences, Norwegian University of Science and Technology, The University of Hong Kong, Harvard University, University of Chinese Academy of Sciences, Nagoya University, Wuhan University, Zhejiang University, Xinjiang Normal University, Chongqing University of Technology, Huaqiao University, Xiamen University, Beijing Normal University, Capital Normal University, Tongji University, University of Ljubljana, Shanghai Jiao Tong University, Fudan University, University of Science and Technology of China, Huzhou University, Henan University, Inha University, University of Bern, Beijing University of Posts and Telecommunications, Linyi University, Sun Yat-sen University, Jimei University, Nankai University, Central South University, Huazhong University of Science and Technology, University of Oslo, Hunan University, Tsinghua University, Peking University, Jilin Normal University.
The conference focused on core areas of several complex variables and their intersections with fields such as complex algebraic geometry, complex differential geometry, and complex geometric analysis, as well as fields including pluripotential theory in several complex variables, higher-dimensional complex dynamical systems, and hyperbolic complex geometry.
The conference adopted a format combining academic presentations and open discussions. This conference featured 22 high-level one-hour academic talks, covering a wide range of frontier areas of several complex variables and complex geometry. A 30-minute free discussion session was scheduled after each presentation. The participating experts engaged in lively discussions on many frontier topics, covering the dbar equations with L2 estimates, the dbar-Neumann problem for weakly pseudoconvex domains, increasing sequences of balls, multiplier submodule sheaves for holomorphic vector bundles, generalized Levi problems, and singularity theory in several complex variables, among others.
The successful organization of this conference has provided a high-level platform for researchers in the field of several complex variables and complex geometry from various countries, which will promote more in-depth academic exchanges and collaboration. Through five days of intensive discussions, the event stimulated explorations on key issues in the field of several complex variables and complex geometry, as well as related fields, facilitating mutual learning and cross-fertilization among these fields. This progress is expected to serve as a springboard for further collaborative research. The conference also offered young researchers a valuable opportunity to engage closely with international leading experts, allowing them to gain insights into cutting-edge topics and the latest research progress.
All participants highly commended the Tianyuan Mathematics Research Center for providing an exceptional environment for research exchange and praised the center’s staff for their outstanding service and support.