Chris Lutsko (Bristol) - Farey sequences for Thin Groups.
|Starts:||15:00 15 Oct 2019|
|Ends:||16:00 15 Oct 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Adults, Alumni, Current University students|
Join us for this research seminar, part of the Number Theory Seminar Series.
Abstract : The study of thin groups has become a hot topic at the centre of a great deal of modern research. Recently the measure theory on infinite hyperbolic groups has opened these groups up to the techniques of homogeneous dynamics. In this talk I will give a sketchy survey of this development and then explain a recent result about the local statistics of orbits by these groups and the connection to local statistics of some sequences of numbers. If there is time I will explain the connections between these theorems, Diophantine approximation on fractals, Ford packings, and continued fractions.
Organisation: Bristol University
Travel and Contact Information
Frank Adams 1
Alan Turing Building