Title: Splitting quasi-transitive infinite graphs
Speaker: Dr. Matthias Hamann, University of Warwick
For you reference, attached is the CV of Dr. De Boeck, and the following is a link to his webpage.
www.math.uni-hamburg.de/home/hamann/
Time: Jan 27, 2022 01:00 PM Central Time (US and Canada)
Location: see the link below.
Abstract: We will look at multi-ended quasi-transitive graphs and obtain results for them that are generalisations of major theorems from geometric group theory such as Stallings’ splitting theorem of multi-ended groups or
Dunwoody’s accessibility theorem of finitely presented groups.
The central notion that we will use is due to Mohar: tree amalgamations. Starting with two quasi-transitive graphs, it allows us to construct a new quasi-transitive graph. We will consider the question whether the reverse also holds, i.e. whether every multi-ended quasi-transitive graph is a tree amalgamation of two other quasi-transitive graphs. To
answer this, we will use canonical tree-decompositions and their recently obtained theory and we will see how tree amalgamations and tree-decompositions relate to each other.