Dynamical Systems Seminar

Title: A lower bound on the canonical height for polynomials
Speaker: Nicole Looper
Speaker Info: Northwestern University
Brief Description:
Special Note:

The canonical height associated to a rational function defined over a number field measures arithmetic information about the forward orbits of points under that function. Silverman conjectured that given any number field K and degree d at least 2, there is a uniform lower bound on the canonical heights associated to degree d rational functions defined over K, evaluated at points of K having infinite forward orbit. I will discuss a proof of such a lower bound across large families of polynomials.
Date: Tuesday, November 21, 2017
Time: 4:00pm
Where: Lunt 104
Contact Person: Laura DeMarco
Contact email: demarco@math.northwestern.edu
Contact Phone:
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