The interplay of local and global aspects of Diophantine equations.
A classical area 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 (for example x=43 and y=13 is a solution in this case). The subject has seen tremendous progress in recent decades, and it is only now that we begin to understand many old questions. In this lecture we take a modern look, and will see that in order to handle integer solutions we need to consider the underlying equations in a more general context than just over the integers.
19 March 2018 6.15pm
The lecture is free and everyone is welcome to attend but please register via https://www.eventbrite.co.uk/e/the-interplay-of-local-and-global-aspects-of-diophantine-equations-tickets-37342909648
University of London
Egham, Surrey TW20 0EX