Seminar:
Geometry & Topology
Event time:
Tuesday, February 22, 2022 - 4:15pm
Location:
LOM 214
Speaker:
Franco Vargas Pallete
Speaker affiliation:
Yale University
Event description:
It is a consequence of a well-known result of Ahlfors and Bers that the PSL2C character associated to a convex co-compact hyperbolic 3-manifold is determined by its peripheral data. In this talk we will show how this map extends to a birational isomorphism of the corresponding PSL2C character varieties, so in particular it is generically a 1-to-1 map. Analogous results were proven by Dunfield in the single cusp case, and by Klaff and Tillmann for finite volume hyperbolic 3-manifolds. This is joint work with Ian Agol.