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The interplay of local and global aspects of Diophantine equations

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Boilerhouse Auditorium

Royal Holloway, University of London

Egham Hill

Egham

TW20 0EX

United Kingdom

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The interplay of local and global aspects of Diophantine equations

Professor Rainer Dietmann
Department of Mathematics

One of the most classical areas of Mathematics is the study of Diophantine equations, named after the Greek mathematician Diophantus of Alexandria. Diophantine equations are polynomial equations such as x^2+y^2=2018 that we want to solve in integers as for example x=43 and y=13. The subject has seen tremendous progress in recent decades and it is only now that we begin to understand many old problems. In this lecture we take a modern look on such questions and will see that in order to handle integer solutions one needs to consider the underlying equations in a more general context than just over the integers.

Inaugural Lecture


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Boilerhouse Auditorium

Royal Holloway, University of London

Egham Hill

Egham

TW20 0EX

United Kingdom

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