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Physics in non-archimedean space-time

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Physicists believe that in the ultra-small scale of Planck length and Planck time, no measurements are possible. Hence the structure of space-time as the background for events is itself an unknown which has to be understood first. In 1987 Igor Volovich proposed the hypothesis that world geometry at this scale is non-archimedean. In this talk I shall discuss some mathematical questions that are inspired by this idea. I shall try to be non-technical and formulate what some of the main questions are.

This talk is part of the Number Theory Seminar series.

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