Professor Alexander Gorodnik - inaugural lecture

Professor of Pure Mathematics Professor Alexander Gorodnik
School of Mathematics

This lecture took place on Thursday 20 February 2014

Chaos and order in arithmetic problems

In this lecture we would be interested in structure of solutions of polynomial equations and inequalities. Even very simple equations are difficult to solve explicitly, and the sets of solutions exhibit complicated geometric patterns. We will discuss how these sets look asymptotically. It turns out that in many cases this problem is closely related to asymptotic distribution of orbits for certain chaotic dynamical systems. While orbits in these systems behave quite erratically, it is possible to give a precise description of their statistical distribution as time goes to infinity.

Professor Alexander Gorodnik - inaugural lecture