Professor Chen Xiuxiong, the founding director of the Institute of Mathematical Sciences, ShanghaiTech University, and Professor Wang Bing of the University of Science and Technology of China, have made major breakthroughs in the field of differential geometry. They successfully proved the Hamilton-Tian Conjecture and the Zero-Order Estimation Conjecture, which are the core conjectures that have been pending in the international mathematics community for more than 20 years. Recently, this result was published in the top international mathematics journal - Journal of Differential Geometry. The published paper is more than 120 pages long, the culmination of 11 years’ work. Differential geometry originated in the 17th century. It uses mainly calculus methods to study the geometric properties of space, and has major applications in physics, astronomy, and engineering. Rich Flow originated in the 1980s and is a differential geometry research tool that describes the evolution of space.
Prof. Chen Xiuxiong and Prof. Wang Bing’s teams have long studied the convergence of Rich Flow in differential geometry. The new ideas and methods introduced in this work will have a profound impact in the fields of geometry and analysis. In fact, since the publication of the article’s preprint there have already been several important follow-up works.
An anonymous reviewer of Journal of Differential Geometry believes that “the results of the article are extremely outstanding and a major advancement in the field - no doubt it will inspire further work”. Fields Medal winner Simon Donaldson also praised this work in the media and articles.
Link of the paper: https://projecteuclid.org/euclid.jdg/1599271253