OSU Mathematics Seminars and Colloquia
Calendar
Tue, Apr 20, 2021
Number Theory Seminar
2:00 PM
Online (Zoom)
Dynamics of random polynomials
Myrto Mavraki, Harvard University
Host: John Doyle
Contact John Doyle (john.r.doyle@okstate.edu) for the Zoom link.
[Abstract] [PDF]
Abstract: We begin with an introduction to arithmetic dynamics and heights attached to rational maps. We then introduce a dynamical version of Lang's conjecture concerning the minimal canonical height of non-torsion rational points in elliptic curves (due to Silverman) as well as a conjectural analogue of Mazur/Merel's theorem on uniform bounds of rational torsion points in elliptic curves (due to Morton-Silverman). It is likely that the two conjectures are harder in the dynamical setting due to the lack of structure coming from a group law. We describe joint work with Pierre Le Boudec in which we establish statistical versions of these conjectures for polynomial maps.
Add seminars to your own calendar (by an ical link).

List of links (urls) directly to a seminar series.

Return to Math Department Login Page

To add/edit talks, please log in on the department web page, then return to Announce.
Alternatively if you know the Announce username/password, click the link below:

Announce Seminar Calendar Login