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