Professor Tian Gang, Dean of Peking University Institute of Mathematical Sciences and Director of Beijing International Mathematical Research Center, took the lead in solving the problem of K? The existence of hler-Einstein metric (the famous case of YTD guessing ideas) has been published in CPAM, the world's top mathematics magazine.
On 20 12, 10, Fano was the first to announce K? The existence and proof summary of hler-Einstein metric are given. The key technical way to solve this long-standing problem lies in cone K? In the case of hler-Einstein space, Tian Gang's earlier partial continuous modulus estimation holds, and the main method to establish this key estimation is to generalize Cheeger-Cold-Tian's theory about k? Compact theory of hler-Einstein manifold. Tian Gang's proof comprehensively uses many theories, involving many branches of mathematics, such as differential geometry, algebraic geometry, partial differential equations, complex analysis, metric geometry and so on. In particular, his proof links these fields together, which will improve and promote the development of these disciplines.
Be a guest in Nankai celebrity lecture hall
On June 17, on the 30th anniversary of the establishment of Chen Shengshen Institute of Mathematics of Nankai University, Tian Gang, an internationally renowned mathematician, academician of China Academy of Sciences, professor Peking University, dean of the School of Mathematics, director of Beijing International Mathematics Center and professor of Higgins of Princeton University, USA, was invited to give a lecture on Nankai celebrities and gave an academic report entitled "Stability of K" in the provincial building.
Before the lecture, Zhang Ya, deputy secretary of the Party Committee of our school, met with Tian Gang and thanked him for his long-term support for Nankai Mathematics. I hope he can come to Nankai more often, communicate with teachers and students, and give more guidance to the development of Nankai mathematics. Academician Long Yiming of China Academy of Sciences, Zhang Weiping and Fu Lei, director of Chen Shengshen Institute of Mathematics, attended the meeting.
Tian Gang has made great contributions in the fields of differential geometry and mathematical physics, especially in the study of Keller-Einstein metric. For example, he put forward the concept of "K stability" and found the deep connection between the existence of Keller-Einstein metric and "K stability". In the lecture, Tian Gang introduced this important research work to teachers and students in a simple way, and also pointed out the importance of innovation in the learning process to the young students present.
Publish a paper in JAMS, a top mathematics magazine
Recently, Professor Tian Gang, Dean of Peking University Institute of Mathematical Sciences and Director of Beijing International Mathematical Research Center, co-authored a paper "On the Structure of Almost Einstein Manifolds" published in the Journal of American Mathematical Society (JAMS), the world's top mathematical journal.
Professor Tian Gang has devoted himself to the research of basic fields such as differential geometry and mathematical physics for many years, and solved a series of important problems, especially in the research of Keller-Einstein metric. His and his collaborators' research results on near-Einstein manifold structure will have a far-reaching impact on differential geometry and other fields.