Teichmuller space parametrizes hyperbolic structures on a
surface up to isotopy. By a Theorem of Brock, the pants complex is
quasi-isometric to Teichmuller space. In this talk we will define the
pants complex and the aforementioned relation to Teichmuller space.
Moreover, as an application, using the combinatorial model of the
pants complex we will study large scale geometric properties of
Teichmuller space including a proof of the fact that it is one ended.

The talk will be accessible to anyone, although minimal background in
geometry/topology could help.