报告题目：Projectively flat affine connections, parallel cubic forms and metrized Jordan algebras
报告人：Shimpei Kobayashi教授，北海道大学
报告时间：2026年1月22日（周四）16:00
报告地点：20-306
报告摘要：I report the classification of Riemannian manifolds endowed with a projectively flat torsion-free affine connection, whose associated cubic form is parallel. Our main result demonstrates that such a manifold is locally isomorphic to either a sphere, a direct product of a Euclidean space and symmetric cones or a level set of a direct product of a Euclidean space and symmetric cones. This classification provides an intrinsic generalization of the theory of locally strongly convex affine hypersurfaces with parallel cubic forms.
报告人简介：日本北海道大学数学教授，主要研究领域为微分几何和可积系统的交叉领域。
邀请人：王二小