学术报告（黄章开 8.22）

摘要： A metric measure space is said to be an RCD(K,N) space if it has a lower curvature bound K and an upper dimension bound N in a synthetic sense. The study on RCD(K,N) spaces is under fast development in past two decades. In this series of courses, we first recall basic knowledge about RCD(K,N) spaces. Then we will introduce some recent works related to (1) heat kernel pull-back metrics of RCD(K,N) spaces (2) eigenmap isometric immersions of compact RCD(K,N) spaces into Euclidean spaces. These works are respectively given by Ambrosio-Honda-Portegies-Tewodrose, Brena-Gigli-Honda-Zhu, Honda and Huang.