Chris Lutsko (Bristol) - Farey sequences for Thin Groups.
| Dates: | 15 October 2019 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Chris Lutsko |
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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.
Speaker
Chris Lutsko
Organisation: Bristol University
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Frank Adams 1
Alan Turing Building
Manchester
