Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	沈文,首都师范大学
Inviter:	黄瑞芝
Title:	Topological classification of Bazaikin spaces
Language:	Chinese
Time & Venue:	2023.09.20 14:30-16:30 南楼N802
Abstract:	Manifolds with positive sectional curvature have been a central object dates back to the beginning of Riemannian geometry. Up to homeomorphism, there are only finitely many examples of simply connected positively curved manifolds in all dimensions except in dimension 7 and 13, namely, Aloff-Wallach spaces and Eschenburg spaces in dimension 7, and the Bazaikin spaces in dimension 13. The topological classification modelled on the 7-dimensional examples has been carried out by Kreck-Stolz which leads to a complete solution for the Aloff-Wallach spaces. The main goal of this talk is the topological classification of 13-dimensional manifolds modelled on the Bazaikin spaces.