中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人：胡京辰 博士(中科院数学所)
题 目：Space of Kahler Potentials and Hamiltonian Dynamics
时 间：2022.01.05（星期三），10:00-11:00
地 点：数学院南楼N913
摘 要：When endowed with a proper metric, the space of Kahler potentials becomes an infinite dimensional symmetric space. The geodesic in this space is then a very interesting object. However, as goverened by a degenerate Monge-Ampere equation, it's difficult to obtain regularity beyond C^{1,1}. In this talk, we discuss some singularity and regularity results and the reltation between geodesic problem and Hamiltonian dynamics.
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