Franco Vargas Pallete (Yale) Title: Peripheral birationality for 3-dimensional convex co-compact PSL(2,C) varieties Abstract: It is a consequence of a well-known result of Ahlfors and Bers that the PSL(2, C) 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 PSL(2, C) 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. ========== To join the webinar please email the organisers to be added to the mailing list: AustralianGeometricTopology@gmail.com