Lethbridge Number Theory and Combinatorics Seminar: Khoa Dang Nguyen

First we introduce some results about certain simple diophantine equations involving linear recurrence sequences. Then we present 2 applications. The first application involves the so-called Orbit Intersection Problem for the arithmetic dynamics of semiabelian varieties and linear spaces. The second application involves certain ergodic averages for surjective endomorphisms of compact abelian groups. Parts of this come from joint work with Dragos Ghioca.