时间:2026年7月3日(星期五),15:00-16:00
地点:E14-301
主持人:朱锦天 理论科学研究院
主讲人:陈淑璃 芝加哥大学
报告主题:Stable minimal submanifolds in the product of projective spaces
报告摘要:Simons, Lawson and Simons and subsequently Ohnita completed the classification of compact stable minimal submanifolds in all compact rank one symmetric spaces. Following these ideas, we consider compact stable minimal immersions in the product of a projective space with any Riemannian manifold. We show that there do not exist odd-dimensional compact stable minimal immersions in the product of two complex projective spaces, and show that the only compact stable minimal immersions in the product of a quaternionic projective space (resp. octonionic projective plane) with any other Riemannian manifold are precisely the products of octonionic projective subspaces (resp. octonionic projective subspaces) with compact stable minimal immersions of the second manifold. This is joint work with Alejandra Ramirez Luna.