Wednesday September 11, 2019 2:30 PM  3:30 PM Math Tower P131
 Yusheng Luo, Stony Brook University
Rtrees for degenerating rational dynamics via Barycentric extensions and Berkovich spacesWe will study the barycentric extensions of rational maps to hyperbolic 3space. By rescaling the metric, this allows us to construct limiting dynamics on Rtrees. This construction is equivalent to the Berkovich construction using the complexified Robinson's field. We will study the dynamics in details and prove the ``difficult direction'' of ``bounded escape = nested Julia sets.'' Many other applications and open questions will be discussed.
