Prof. Dr. Gregory Cherlin, Rutgers University USA, Vortrag: Homogeneity and Universality, from Urysohn and Ramsey to today
Thursday, 05.12.2013 16:30 im Raum M5
Abstract: The story begins with Urysohn's universal complete separable metric
space and its remarkably rich isometry group (1924), and a fundamental combinatorial theorem
due to Ramsey (1930).
The threads come together with the realization that the topological dynamics of Urysohn's isometry group
depend on a far reaching generalization of Ramsey's theorem, as was shown by
Kechris, Pestov, and Todorcevic (2005).
This surprising connection has sent me back to some unfinished business of my own in model
theory, with a fresh perspective. I will explain the model theoretic and topological
issues, and the combinatorics that links them, and
talk about my current projects on the model theoretic side of the picture.