17 October 2022
Start time
11:00 am
PovoZero - Via Sommarive 14, Povo (Trento)
Aula seminari di Fisica
Target audience:
University community
Attendance:
Online – Registration required
Registration email:
“Doc in Progress” is pleased to introduce you to:
- Alessandro Codenotti - PhD in Mathematics - University of Münster
Abstract:
A topological group G is said to be extremely amenable if it satisfies the strongest possible fixed point property: whenever G acts continuously on a compact topological space, there must be a fixed point. In this talk we will present an elementary proof, due to Pestov, of the extreme amenability of Aut(ℚ, ≤), the group of order preserving functions on the rationals. This is the simplest manifestation of a widespread phenomenon, now known as the Kechris-Pestov-Todorčević correspondence or KPT correspondence in short, which links together topological dynamics, Ramsey theory and the model theory of homogeneous structures.
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