Time：16:00-17:00, Tuesday, Nov 29, 2022
Venue：ZOOM
Host：Dr. Jiyuan Han, ITS
Speaker：Dr. Jingchen Hu, Chinese Academy of Sciences
Title: Preservation of Convexity by Geodesics in the Space of Kahler Potentials on Complex Affine Manifold
Abstract：
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 ID：853 8983 0526
PASSCODE：502826
