摘要计算共形几何是现代数学与计算机科学交叉的学科,在课程设置上采用基础数学理论与计算机算法并重的路线。课程涵盖基础数学本科的代数拓扑、黎曼几何、黎曼面理论和微分几何课程。同时,为了解释计算方法,我们也介绍一些研究生水平的数学课程,包括调和映照理论、Teichmuller空间理论、曲面Ricci 流理论。近年来,依随AI的蓬勃发展,我们系统地介绍了凸微分几何中的Minkowski-Alexandrov理论,以及等价的Monge-Kantorovich-...
An upper bound for polynomial log-volume growth of automorphisms of zero entropyAbstractLet f by an automorphism of zero entropy of a smooth projective variety X. The polynomial log-volume growth plov(f) of f is a natural analog of Gromov's log-volume growth of automorphisms (of positive entropy), formally introduced by Cantat and Paris-Romaskevich for slow dynamics in 2020. A surprising fact n...