Dynamical Systems Working Seminar
John Lesieutre
UIC
The dynamical Mordell-Lang conjecture
Abstract: Suppose that phi is an endomorphism of a smooth complex
algebraic variety, p is a point on X, and V is a subvariety of X. The
dynamical Mordell-Lang conjecture predicts that the set of n for which
phi^n(p) lands in V is the union of finitely many arithmetic
progressions and a finite set. (This is already interesting when phi is
just a matrix acting on CP^n!) I'll give a general introduction to the
conjecture: where does it come from, what are some interesting cases,
and what sorts of techniques come into play?
Tuesday February 16, 2016 at 3:00 PM in SEO 712