MATH SEMINAR: Integral points in orbits and multiplicative dependence

Guest: Jorge Mello, Oakland University

Title: Integral points in orbits and multiplicative dependence

Date/Time:Mar 20, 2025, 18.30 
 

Zoom link: https://sabanciuniv.zoom.us/j/96026121924?pwd=SnU5VEpEY24xOFVyeEFUR0tFOE1BZz09

Meeting ID: 960 2612 1924

Passcode: 050032

Abstract: In arithmetic and in its emerging branch called arithmetic dynamics, height functions have been ubiquitous objects of study and have important properties, characterizing sets of integral points in orbits and often detecting preperiodic points. In this talk, we aim to review some results about the sparsity of integral points lying in orbits of morphisms in varieties over number fields in light of the theory of heights, and present some of their consequences on sparsity in multiplicative dependence results and arithmetic dynamics.

Biography: Jorge Mello is currently an assistant professor at Oakland University, Michigan. Before that, he held postdoc positions in the Max Planck Institute for Mathematics in Bonn, Germany, at York University in Canada, and the University of New South Wales, Australia, after finishing his PhD at the Federal University of Rio de Janeiro.