Differential Equations and Dynamics Seminar
Enveloping semigroups, by Prof. Vladimir Uspenkiiy (Ohio University)
| What | Seminar |
|---|---|
| When |
Apr 14, 2008 from 04:10 pm to 05:00 pm |
| Where | Morton 322 |
| Contact Name | Todd Young |
| Contact Email | young@math.ohiou.edu |
| Contact Phone | 740-593-1285 |
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Abstract: By a dynamical system (G,X) we mean a topological group G that continuously acts on a compact space X. The enveloping semigroup (or the Ellis semigroup) E(X) is the closure of the set of all g-translations, g in G, in the compact space X^X. It is known that some dynamical properties of (G, X) have a nice characterization in terms of E(X). For example, (G,X) is distal iff E(X) is a group; (G,X) is weakly almost periodic iff every element of E(X) is a continuous self-map of X. We'll give a characterization of dynamical systems for which the enveloping semigroup is metrizable. This is a recent joint work by E. Glasner, M. Megrelishvili, and the speaker, arXiv: math.DS/0606373.
