Links to information about (outer) automorphisms of elementary spaces
such as graphs, surfaces and n-dimensional tori. The case of tori was
studied first and involves a lot of classical mathematics: symmetric
spaces, Bruhat-Tits buildings, linear algebraic groups, lattices in
Lie groups. The second most developed is the case of surface. Here
the key objects are the mapping class group of a surface, train
tracks, measured laminations, Teichmueller space, the complex of
curves, the arc complex, etc. The third case is that of free groups
and it has a mix of properties from the other two.