Pants Decomposition, the Pants Complex, and Teichmuller Space -- Harold Sultan

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.