Symmetries of flat manifolds and actions of SL(n,Z)-数学学院
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Symmetries of flat manifolds and actions of SL(n,Z)

发布时间:2018年06月11日 15:24   浏览次数:
报告人 Shengkui Ye 年月 2018-06
20

报告题目:Symmetries of flat manifolds and actions of SL(n,Z)

报告人:Shengkui Ye

报告人单位:Xi’an Jiaotong-liverpool University

报告时间:6月20日(周三)下午14:00-15:00

报告地点:数学学院东409报告厅

邀请人:杨磊

摘要:

For a given flat manifold M, we obtain a sufficient and necessary condition for a finite group that could act effectively on M. Two applications will be discussed. The first is about topological Zimmer’s program and the second is about Jordan’s property of homeomorphism groups. In particular, we prove that any action of SL(n,Z) (n>2) on a flat manifold M is trivial when dim(M)<n. This confirms a conjecture related to Zimmer's program for flat manifolds.

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