The 10th International Congress of Chinese Mathematicians (ICCM 2025) was held in Shanghai from Jan 3 to 7.
Chen Jining, Party secretary of the CPC Shanghai Municipal Committee; Gong Zheng, deputy Party secretary of the CPC Shanghai Municipal Committee and mayor of Shanghai; Shing-Tung Yau, chairman of ICCM 2025 and Shanghai Institute for Mathematics and Interdisciplinary Sciences; Chen Jiachang, vice-minister of Ministry of Science and Technology; Qiu Xin, Party secretary of Fudan University; Li Luming, president of Tsinghua University; and Caucher Birkar, a foreign member of the Chinese Academy of Sciences and Fields Medal laureate, attended the opening ceremony. Thousands of mathematicians, researchers, and university faculty and students from multiple countries and regions took part in the congress. Professor Xiong Xiao from the Institute of Mathematics at Harbin Institute of Technology (HIT) delivered a plenary lecture.

Xiong Xiao delivers a plenary lecture. [Photo/hit.edu.cn]
In his plenary lecture titled Spectral Asymptotics of Pseudodifferential Operators and Their Applications, Xiong began by outlining the fundamental framework of noncommutative geometry and explaining the pivotal role of spectral asymptotic limits within this theoretical framework. He systematically analyzed the analytic properties of the Riemann zeta function associated with pseudodifferential operators, derived a general expression for spectral asymptotic limits, and discussed their intrinsic connections to key topics in physics, including the quantum Hall effect and the integrated density of states.
Under the theme "New Frontiers: Mathematics for Transforming Science and Humanity", the congress featured more than 300 high-level academic lectures and exchange activities, offering a comprehensive overview of the latest advances and emerging frontiers in mathematical research.
Founded in 1998 by Shing-Tung Yau, the first Chinese mathematician to receive the Fields Medal – the highest honor in mathematics – ICCM holds a meeting every year and a full congress every three years. It has since grown into the largest and most influential top-tier academic gathering in the global Chinese mathematics community.
Editor: Shang Yankai, Yang Wenyu
Reviewed by: Song Ling, Li Shoubin