### Markov Numbers and Cluster Algebras

Seminar

27th October 2017, 4:30 pm – 5:40 pm

Howard House, 4th Floor Seminar Room

Markov Numbers are solutions to a Diophantine equation Markov ‘discovered’ during his masters’ thesis about quadratic forms. Surprisingly these numbers turn up in a huge range of topics, from combinatorics to number theory to hyperbolic geometry. In this talk I will introduce just one of these topics, namely cluster algebras, and hope to show their application to Markov Numbers.

*Biography:*

*Organiser*: Quantum Information Theory Group

*Organisers*: Harry Petyt, Jordan Frost

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*Organiser*: Karoline Wiesner

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*Organiser*: Nick Jones

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*Organisers*: Catherine Hsu, Min Lee, Jonathan Bober, Matthew Bisatt

*Organisers*: Ben Barrett, Radhika Gupta, Alex Malcolm, Leonid Monin

*Organisers*: Kevin Grace, David Ellis, Brendan Murphy

*Organisers*: Thomas Jordan, Rhiannon Dougall, Demi Allen

*Organisers*: John Russo, Aurore Loisy

*Organisers*: Michiel van den Berg, Kevin Hughes, John Mackay

*Organisers*: Tyler Helmuth, Ofer Busani

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