Mini Course / Dynamics Learning Seminar

from Saturday
June 01, 2019 to Tuesday
December 31, 2019
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Wednesday
September 11, 2019

2:30 PM - 3:30 PM
Math Tower P-131
Yusheng Luo, Stony Brook University
R-trees for degenerating rational dynamics via Barycentric extensions and Berkovich spaces

We will study the barycentric extensions of rational maps to hyperbolic 3-space. By rescaling the metric, this allows us to construct limiting dynamics on R-trees. 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.


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