Symmetries of flat manifolds and actions of SL(n,Z)
[Math. Dept.]
June 20, 2018 14:00-15:00
E409 School of Mathematics
![[seminar]20180620Shengkui Ye-01.png](http://tianyuan.scu.edu.cn/upload/default/20180612/%5Bseminar%5D20180620Shengkui%20Ye-01.png "[seminar]20180620Shengkui Ye-01.png")
SPEAKER
Shengkui Ye (Xi’an Jiaotong-liverpool University)
ABSTRCT
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.
SUPPORTED BY
School of Mathematics, Sichuan University