Events Calendar

Graduate Student Seminar - Andrew Herring (Math)

Friday, February 28, 2020
3:30 pm - 4:30 pm
Middlesex College (MC)
Room: 107

Title: Arithmetic Dynamics: Uniform Boundedness, and two Galois Representations

Speaker: Andrew Herring

Abstract: Arithmetic dynamics is a relatively new area of research in which we ask number theoretic questions about dynamical systems.  An easy source of problems is by analogy with arithmetic geometry: starting from some problem in arithmetic geometry (solved or not), we can consider its dynamical analogue (for example by replacing the words "torsion points on an abelian variety" with the words "(pre)periodic points of a rational map.")  In this talk we'll look at the (dynamical) uniform boundedness conjecture of Morton and Silverman (an analogy of Merel's Theorem on the uniform bound on torsion of an elliptic curve), and two Galois representations-the arboreal Galois representation,  and the dynatomic Galois representation, each of which might be regarded as an analogy of the l-adic representation of an abelian variety.  This talk is meant to be a gentle introduction to some of the basic problems in arithmetic dynamics; the only pre-requisites are an open heart and an open mind.

As always, great food, coffee and drinks will be provided!

We hope to see you all this Friday! We encourage your participation in the seminar to provide continuity to this project.

You can visit the Grad Seminar website at

Adriana Dimova

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