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Research

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


 

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Events for 23 October 2018

Sam Chow: Ramsey-theoretic properties of diagonal equations

2:00pm, CM301

Arithmetic Ramsey theory is about large sets necessarily containing given structures, such as arithmetic progressions. These phenomena can be studied using combinatorics, analysis, or ergodic theory. For this reason, Szemeredi's theorem has been described as a Rosetta stone of mathematics. The theory for linear patterns is classical, but over the past two years we've been able to Fourier-analytically transfer the results to higher-degree diophantine equations. This has led to a complete characterisation of density and partition regularity for diagonal equations in sufficiently many variables. This talk is based in part on joint work with Sofia Lindqvist and Sean Prendiville.

Contact pankaj.vishe@durham.ac.uk, athanasios.bouganis@durham.ac.uk for more information about this event.