Speaker
Jorge Olivares-Vinales
(SCMS, Fudan University)
Description
In this talk, I will discuss recent work characterizing the rationality of the Artin–Mazur zeta function for unimodal maps. I will then present examples showing that this characterization fails for multimodal maps, and therefore for polynomial maps of higher degree. If time permits, I will also explain how these examples connect to Thurston’s conjecture on the structure of isentropes for polynomial maps
Author
Jorge Olivares-Vinales
(SCMS, Fudan University)