报告题目：Symmetries of flat manifolds and actions of SL(n,Z)
报告人单位：Xi’an Jiaotong-liverpool University
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.