报告题目：Special Vinberg Cones and their Applications

报 告 人：D.V.Alekseevsky（Higher School of Modern Mathematics MIPT）

报告时间：2025年4月9日下午16:00--17:00

报告地点：龙洞行政楼610报告厅

主 持 人：陈智奇

报告摘要：

E.B.Vinberg V-1963 proposed a construction of homogeneous convex cones in terms of non-associative matrix algebras, called T-algebra. In AC-2021,a class of homogeneous convex cones, called rank 3 Vinberg cones, had been defined and studied. In the preprint AO-2025 , we define the notion of Vinberg cones of rank n and classified Vinberg cones of rank 4.

In the talk, we consider the basic results of differential geometry of Vinberg cones , their applications and generalizations.