From Dynamical Systems to Number Theory

讲座题目：From Dynamical Systems to Number Theory
讲座时间 Datetime: 2025年12月22日， 周一， 10:00-11:00
地点 Venue: 海琴二号A457
主持人 Host：Sergio Augusto Romana Ibarra 副教授
报告人 Speaker:  Davi dos Santos Lima 副教授
单位 Affiliation: Federal University of Alagoas
报告摘要 Abstract: 
Abstract: In this talk, we will address two distinct problems in Number Theory whose
dynamical interpretations contribute significantly to their understanding. The
first is related to the study of Diophantine approximation and the development
of the Markov and Lagrange spectra. The second arises from an approach that
interprets subsets of the integers as subsets of the p-adic integers.
Our goal is to highlight the dynamical ideas and tools that appear in both
contexts, guiding interested listeners to the appropriate texts and references for
a deeper study of the proofs and technical aspects. The exposition is based on
joint work with H. Erazo, C. Matheus, C. G. Moreira, S. Vieira, A. Zamudio
Espinosa, and H. Ara´ujo.

报告人简介：
Davi dos Santos Lima is a Professor at the Institute of Mathematics of the Federal University of Alagoas (UFAL), Brazil, and a CNPq Research Productivity Fellow. His work lies at the intersection of Dynamical Systems and Number Theory, specializing in the Markov and Lagrange spectra, fractal geometry, and statistical properties of dynamical systems. He leads funded research projects and has published in journals such as Monatshefte für Mathematik and Annales de l'Institut Henri Poincaré.