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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