Academics

Topological classification of Bazaikin spaces

Time:2023-10-31, Tuesday 16:00-17:00

Venue:Zoom meeting ID: 405 416 0815 Pw: 111111;C654, Shuangqing Complex Building

Organizer:陈伟彦、高鸿灏、黄意、江怡 、林剑锋

Speaker:Wen SHEN 沈文 Capital Normal University 首都师范大学

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 report is to discuss the topological classification problem of the Bazaikin spaces.

DATEOctober 31, 2023
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