Laura DeMarco: Lattès maps, bifurcations, and arithmetic (NTWS 151) скачать в хорошем качестве

Laura DeMarco: Lattès maps, bifurcations, and arithmetic (NTWS 151)

Abstract: In the field of holomorphic dynamics, we learn that the Lattès maps -- the rational functions on P^1 that are quotients of maps on elliptic curves -- are rather boring. We can understand their dynamics completely. But viewed arithmetically, there are still unanswered questions. I'll begin the talk with some history of these maps. Then I'll describe one of the recent questions and how it has led to interesting complex-dynamical questions about other families of maps on P^1 and, in turn, new perspectives on the arithmetic side. The new material is a joint project with Myrto Mavraki. Number Theory Web Seminar: https://www.ntwebseminar.org Original air date: Thursday, December 8, 2022 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time) Friday, December 9, 2022 (12am CST, 3am AEDT, 5am NZDT)