Aleksandra Kwiatkowska

Aleksandra Kwiatkowska: Simplicity of the automorphism groups of homogeneous structures

Tuesday, April 28, 2020 17:15

Location: Zoom.us: if you want to participate please contact organizers

Speaker:
Aleksandra Kwiatkowska

Title: Simplicity of the automorphism groups of homogeneous structures

Abstract. We prove simplicity for the automorphism groups of order and tournament expansions of homogeneous structures like the bounded Urysohn space and the random graph. In particular, we will show that the automorphism group of the linearly ordered random graph is a simple group. The talk will be based on a preprint https://arxiv.org/pdf/1908.05249.pdf joint with Filippo Calderoni and Katrin Tent.

Aleksandra Kwiatkowska: Universal flows and Ramsey theory

Tuesday, March 22, 2016 17:15

Room: D1-215

Speaker:
Aleksandra Kwiatkowska

Title: Universal flows and Ramsey theory

Abstract. The subject lies on the crossroad of topological dynamics, topology, topological groups and Ramsey theory. We will present Kechris-Pestov-Todorcevic theorem about connections between structural Ramsey theory, extremely amenable groups and universal minimal flows. We will show some examples. Next, we will focus on groups of homeomorphisms (Cantor set, Lelek fan, pseudoarc, Hilbert cube). We will recall known results and ask some questions.