In this week, we have a look at the following articles:
von Heydebreck - Homotopy properties of certain complexes associated to spherical buildings
Schulz - Spherical subcomplexes of spherical buildings

In this week, we have a look at the article
Harer - The virtual cohomological dimension of the mapping class group of an orientable surface.

This week, we will talk about the articles
Stallings - Topology of finite graphs
and
Wade - Folding free-group automorphisms.

This week, we will talk about contractibility of Culler-Vogtmann Outer space that was shown in
Culler, Vogtmann - Moduli of graphs and automorphisms of free groups.
See also
Vogtmann - Contractibility of outer space: reprise.

This week, we will talk about Brown's criterion as presented inin
Geoghegan - Topological methods in group theory.

This week, we will talk about Brown's criterion as presented inin
Geoghegan - Topological methods in group theory.

This week, we will talk matching complexes arising in the study of braided (Higman–)Thompson groups.

https://arxiv.org/pdf/1906.03602.pdf