EVENT DETAILS AND ABSTRACT

Title: Quantitative ergodic theory and Diophantine approximation
Speaker: Alex Gorodnik
Speaker Info: Bristol University
Brief Description:
Special Note:
Abstract:

The fundamental problem of Diophantine approximation is to quantify the density of rational numbers in reals. We investigate this problem on surfaces equipped with group actions, and establish analogues of Khinchin and Jarnik theorems in this setting. The main ingredient of the proof is an ergodic theorem with explicit rate. This is a joint work with A.Ghosh and A.Nevo.