时间：2022年11月29日（星期二）16:00-17:00
地点：ZOOM
主持人：理论科学研究院 韩骥原博士
主讲人：中国科学院 胡京辰博士
报告主题：Preservation of Convexity by Geodesics in the Space of Kahler Potentials on Complex Affine Manifold
报告摘要：
In the space of Kahler potentials, given two points, there is always a weak geodesic connecting them. However, the metrics along the geodesic may be degenerate. The question is can we pose some conditions on the end points of a geodesic, so that when these conditions are satisfied the metrics along the geodesic do not degenerate? In this talk, we will present some sufficient conditions; in particular, we introduce the concept of $(S,\omega_0)$-convexity, and show that when the two end points are both $(S,\omega_0)$-convex the metrics along the geodesic are nondegenerate.
ZOOM会议号：853 8983 0526
密码：502826
