Speaker: Romain Dujardin, Sorbonne University
January 12, 2024 10:15 AM
- 11:15 AM
Abstract:
The dynamical Manin-Mumford conjecture is a dynamical question inspired by classical results from arithmetic geometry. The question is whether, for an algebraic dynamical system, a subvariety containing 'unusually many' preperiodic points must be itself preperiodic. In a recent work in collaboration with Charles Favre and Matteo Ruggiero, we establish this conjecture for a wide class of plane polynomial maps.