Abstract:
The talk will be devoted to continuous finite group actions on topological
manifolds. We will be mainly concerned with properties of the actions that
hold true for almost every finite group action. This means that the property
begins to be true after passing to a subgroup of finite (and bounded by a
constant depending only on manifold) index. In particular, we will discuss
Jordan property for homeomorphism groups of some topological manifolds as well
as the almost fixed point property for action of finite groups on topological
manifolds (under some restrictions).
The talk is based on the paper I. Mundet i Riera "Jordan property for homeomorphism groups and almost fixed point
property".