Time：15:00-16:00,Friday, July 3 2026
Venue：E14-301
Host：Jintian Zhu, ITS
Speaker：Shuli Chen, The University of Chicago
Title：Stable minimal submanifolds in the product of projective spaces
Abstract：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.
