A rigidity property of Henon maps
Dr. Ratna Pal
IISER, Pune
| Speaker |
Dr. Ratna Pal
IISER, Pune
|
|---|---|
| When |
Jun 21, 2019
from 04:00 PM to 05:00 PM |
| Where | LH006 |
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Abstract: While studying the dynamics of polynomial automorphisms in \(\mathbb{C}^2\), it turns out that the class of Henon maps, which exhibits extremely rich dynamical behaviour, is the single most important class to study. An extensive research has been done in this direction by many authors over the past thirty years. In this talk, we shall see a 'rigidity' property' of Henon maps which essentially replicates a classical rigidity theorem of Julia sets for polynomial maps in the complex plane. In particular, we shall give an explicit description of the automorphisms in \(\mathbb{C}^2\) which preserve the Julia sets of a given Henon map.