Number Theory

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. I will also discuss related questions, both in the setting of elliptic curves and that of dynamical systems.
Date: Monday, January 22, 2018
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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