30th Anniversary of the Morningside Center of Mathematics
The Morningside Center of Mathematics was formally established in June of 1996, after nearly one year of discussion and preparation amongst President Lu Yongxiang of the Chinese Academy of Sciences, Professor S.T.Yau of Harvard University and Mr. Ronnie Chan, the Chairman of the Morningside Group. The goal of the MCM is to gradually become a thriving center of mathematical research, which provides training young, talented mathematicians while fostering extensive mathematical exchange, both within the center itself and throughout the mathematical community at large. It was expected that, after many years of strenuous effort, the MCM would emerge as a vital institution for mathematical research and education in China, as well as establish itself as a key actor on the world stage, much like the Institute for Advanced Study at Princeton.
In 1997, the MCM initiated six projects exploring topics such as arithmetic algebraic geometry, geometric analysis, and partial differential equations. In the following year, in addition to pursuing these six expansive projects, the MCM hosted the first International Congress of Chinese Mathematicians in Beijing, which brought over four hundred mathematicians from outside of Asia, Mainland China, Hong Kong, Macau, and Taiwan. Moreover, it assisted the selection committee in deciding on the recipients of the two gold medal and four silver medal winners of the newly created Morningside Prize of Mathematics. Additionally, the Morningside building, which was financially supported by both the Chinese Academy of Sciences and the Morningside Group, was completed in 1998.
Abstract:
When a complex surface X admits a nowhere vanishing holomorphic 2-form, it determines a (holomorphic) symplectic structure on X. We study the symplectic geometry of such a symplectic structure when X is an elliptic surface. When the elliptic fibration is nonisotrivial, we define a factorization of Kodaira's functional invariant, which determines the symplectic geometry of a nonisotrivial elliptic fibration. This leads to a classification of isogenies of nonisotrivial symplectic elliptic fibrations with a fixed source. We also classify isogenies of symplectic elliptic fibrations with a fixed target in terms of germs of singular fibers.
As an application, we prove that a symplecto-biholomorphic map between germs of fibers of nonisotrivial elliptic K3 surfaces can be extended to compositions of isogenies of K3 surfaces. This is a joint work with Guolei Zhong.
Introduction:
Jun-Muk Hwang is the founding director of the Center for Complex Geometry at the Institute for Basic Science (IBS) in Korea, established in September 2020. He received the Korea Science Prize in 2001 and the Ho-Am Prize in 2009. He was an invited speaker at the ICM2006 and a plenary speaker at ICM 2014.
Hwang's research focuses primarily on complex algebraic geometry, with a particular emphasis on using the theory of rational curves to study the geometry and classification of projective algebraic varieties. His work has profoundly revealed the intrinsic relationships among Fano varieties, homogeneous manifolds, and projective varieties with a rich structure of rational curves. Hwang's work combines geometric intuition with algebraic rigor. His achievements have not only advanced the field of complex geometry but also deeply intersected with representation theory, differential geometry, and mathematical physics. As a leading figure in Korean complex geometry, he has cultivated an active research team, making the Center for Complex Geometry a major international hub in this field.
Abstract
Enumerative geometers and their colleagues in representation theory and mathematical physics are very excited about the new perspectives on old and new problems offered by the nascent field of 3-dimensional mirror symmetry. While most formulations or explanations of what 3-dimensional mirror symmetry is require a lot of prerequisites and a high level of abstraction, some of its core predictions can be easily cast in the language that people like P.L. Chebyshev, C.G. Jacobi, and I.G. Macdonald would have no problem grasping. This is what I will try to do in this talk, which I hope will be accessible to the general mathematical audience.
Biography
Professor Andrei Okounkov, born in Moscow, Russia, is a world-renowned mathematician, who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions.
He obtained his PhD from Lomonosov Moscow State University in 1995, under the supervision of Alexandre Kirillov. Since then he held professorships at world-leading academic institutions including the University of California, Berkeley, the University of Chicago, and Princeton University. He is now Samuel Eilenberg Professor of Mathematics at Columbia University.
Professor Okounkov is a member of the US National Academy of Sciences (2012), the American Academy of Arts and Sciences (2016), the Royal Swedish Academy of Sciences, and was elected as a Foreign Member of the Chinese Academy of Sciences in 2023.
Professor Okounkov received many important prizes including European Mathematical Society Prize (2004), and the Fields Medal (2006). He is a ICM Plenary speaker in 2018.
2026.12.12-2026.12.16 / MCM110
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| Pierre-Henri Chaudouard |
IMJ-PRG, Université de Paris Cité |
| Yu Deng (to be confirmed) | University of Chicago |
| Jian Ding | Peking University |
| Kenji Fukaya | YMSC, Tsinghua University |
| Xuhua He | The University of Hong Kong |
| Jun-Muk Hwang | IBS Center for Complex Geometry |
| Erez Lapid | The Weizmann Institute of Science |
| Si Li | YMSC, Tsinghua University |
| Fang-Hua Lin | New York University |
| Bảo Châu Ngô | University of Chicago |
| Junliang Shen (to be confirmed) | Yale University |
| Binyong Sun | Zhejiang University |
| Song Sun | Zhejiang University |
| Ye Tian | MCM, CAS |
| Kari Vilonen (to be confirmed) | University of Melbourne |
| Sijue Wu | University of Michigan |
| Xinyi Yuan | Peking University |
| Ruixiang Zhang (to be confirmed) | UC Berkeley |
| Shou-Wu Zhang | Columbia University |
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