Number Theory Seminar

Speaker: Simon Kristensen (Aarhus).

Title: Diophantine approximation and applications - some ways in which Hardy was wrong.

Abstract: Hardy famously said: " The Theory of Numbers has always been regarded as one of the most obviously useless branches of Pure Mathematics". This has of course been proven wrong several times, especially with the advent of cryptography.
In this talk, we will see examples of applications of recent and classical results in Diophantine approximation. We will put particular emphasis on a surprising (at least to the speaker) application of recent results obtained in collaboration with Mumtaz Hussain to wireless communication and the so-called MIMO (Multiple Input and Multiple Output) model, in which one communicates simultaneously on many transmitting as well as receiving channels.

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