Arithmetic Dynamics - A Survey

Explore the emerging field of arithmetic dynamics in this 47-minute lecture by Joseph Silverman for the International Mathematical Union. Discover how classical problems from number theory and algebraic geometry are reformulated in the context of dynamical systems. Learn about the transformation of rational points on algebraic varieties into rational points in orbits, and torsion points on abelian varieties into points with finite orbits. Examine representative problems that motivate the field of arithmetic dynamics and gain insights into the progress made over the past two decades. Access accompanying slides for a visual aid to enhance understanding of this complex mathematical topic.