The Multiplier Spectrum Morphism is Generically Injective
发布时间:2024年04月16日
浏览次数:575
发布者: He Liu
主讲人: Junyi Xie(Peking University)
活动时间: 从 2024-04-18 10:00 到 10:50
场地: 线上
We consider the multiplier spectrum of periodic points, which is a natural morphism defined on the moduli space of rational maps on the projective line. A celebrated theorem of McMullen asserts that aside from the well-understood flexible Lattès family, the multiplier spectrum morphism is quasi-finite. In this paper, we strengthen McMullen’s theorem by showing that the multiplier spectrum morphism is generically injective. This answers a question of McMullen and Poonen.
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