报告题目：Curved versions of the Ovsienko-Redou operators

报 告 人：袁伟

时 间：2025年3月27日(周四) 下午 16:00-17:00

地 点：国交2号楼315会议室

简 介：In the study of conformal geometry, it is fundamental understand the conformal invariant operators involves in various of problems. For example, the well-known conformal Laplacian plays a key role in the study of Yamabe problem. Inspired by the construction of GJMS operators, we completely classify the tangential bidifferential operators on the ambient space and gives a curved analogue of the classification, due to Ovsienko–Redou and Clerc, of conformally invariant bidifferential operators on the sphere. This is a joint work with Jeffrey S. Case from Penn State University and Yueh-Ju Lin from Wichita State University.

报告题目：Stability switches, periodic oscillations and global s…

报 告 人：竹内康博

时 间：2025年3月25日（周二）下午16:00--18:00

地 点：国交2号楼201会议室

简 介：

报告题目：Existence of embedded minimal tori in three-spheres wi…

报 告 人：王志超

时 间：2025年3月24日（周一）上午10:30-11:30

地 点：新文科楼四楼406

简 介：In this joint work with Xingzhe Li, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci curvature, there exist at least 4 distinct embedded minimal tori. Suppose in addition that the metric is bumpy, then the three-sphere contains at least 9 distinct embedded minimal tori.