Thursday, April 20, 2017 - 12:00 to 13:00

428 Thackeray

### Abstract or Additional Information

In this talk, I will first introduce the notion of *complete hyperbolic structure. *I will then discuss how one can a construct complete hyperbolic manifold by gluing faces of polyhedra*. *Then I will explain what we mean by small deformations and how one can capture useful information about them using the notion of *cusp parameters *(discussed in [1])*. *

[1]: Walter D. Neumann and Don Zagier. “Volumes of hyperbolic three-manifolds.” *Topology* 24 (1985), no. 3, 307-332.