Speaker: Mitsuhiro Shishikura, Kyoto university
January 9, 2024 09:00 AM
- 10:00 AM
Abstract:
When a family of rational maps degenerates, certain parametrized coordinate changes may give rise to a non-trivial return map. J. Kiwi studied such scaling limits for quadratic rational maps and M. Arfeux defined "trees of spheres" for the degeneration. We will discuss a converse problem which means a construction of degeneration family from a given data, and its relation to the Berkovich space of the extension of the field of Laurent series. This is a work in progress with Arfeux and Kiwi, and some work-out examples with E. Hironaka related to Pern(0).