Number Theory Seminar

Date: May 4, 2023

Time: 2:30PM - 3:30PM

Location: BLOC 302

Speaker: Matias Alvarado, Pontificia Universidad Católica de Chile

Title: Zsigmondy bounds for families of Drinfeld modules of rank 2

Abstract: The Zsigmondy sets are objects of study in arithmetic dynamics. Ji & Zhao proved that these sets associated with Drinfeld modules are finite, but unfortunately, the proof is not effective. In our work, we give a bound for the Zsigmondy set in the case of certain families of Drinfeld modules of rank 2. In this talk, we will define the Zsigmondy set in a dynamic, visit the results of Ji-Zhao, and review some preliminaries to understand the strategy to approach the problem. At the end of the talk, we will sketch the proof of our theorem.