Rahim Moosa (University of Waterloo)

Title:Recent applications of model theory to algebraic dynamics

Abstract: Model theory is a branch of mathematical logic with a long history of applications to other areas of mathematics, especially algebra, geometry, and number theory. There have, in particular, been noted applications to algebraic dynamics since the nineteen nineties, in the work of Chatzidakis-Hrushovski and Medvedev-Scanlon. I will be talking about more recent applications coming out of joint work mostly with Moshe Kamensky, but also with Jason Bell and Matthew Satriano, which were motived by the analogy between algebraic dynamics and algebraic differential equations, and which can be seen as part of the birational classification problem for algebraic dynamical systems.

 Venue: Hybride - CRM, Salle / Room 5340, Pavillon André Aisenstadt