Seminar Event Detail

Complex Analysis, Dynamics and Geometry

Date:  Monday, November 27, 2017
Location:  3096 East Hall (4:00 PM to 5:00 PM)

Title:  A lower bound on the canonical height for polynomials

Abstract:   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.


Speaker:  Nicole Looper
Institution:  Northwestern

Event Organizer:     


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