2020 Oregon Number Theory Days - Winter Meeting

The winter meeting of Oregon Number Theory Days will take place on Saturday, February 29 at Oregon State University. This is a triannual seminar rotating between Oregon State University, Portland State University, and the University of Oregon.

Program:

• 11:00-12:00 -- Rob Benedetto, Lecture I: TBA

• 12:00-1:00 -- Lunch (provided)

• 1:00-2:00 -- Rob Benedetto, Lecture II: TBA

• 2:00-3:00 -- Coffee and posters

• 3:00-4:00 -- Nicole Looper: Equidistribution techniques in arithmetic dynamics: past and present

Abstracts:

• Rob Benedetto, Lecture I: TBA Abstract coming soon

• Rob Benedetto, Lecture II: TBA Abstract coming soon

• Nicole Looper: Equidistribution techniques in arithmetic dynamics: past and present This talk is about the arithmetic of points of small canonical height relative to dynamical systems, particularly those aspects amenable to the use of equidistribution techniques. Past milestones in the subject include the proof of the Manin-Mumford Conjecture given by Szpiro-Ullmo-Zhang, and Baker-DeMarco's work on the finiteness of common preperiodic points of unicritical maps. Recently, quantitative equidistribution techniques have emerged both as a way of improving upon some of these old results, and as an avenue to studying previously inaccessible problems, such as the Uniform Boundedness Conjecture of Morton and Silverman. I will describe the key ideas behind these developments, and raise related questions for future research.