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Dispersion and Diophantine Approximation [Please note the change of time]

Posted in
Niclas Technau
University of Graz/MPIM
Wed, 08/11/2023 - 13:30 - 14:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The dispersion of a finite set, say, in [0, 1) is a quantitative measure of its denseness.
It is defined to be the largest gap between neighbouring elements. Recently, Sam Chow and me
discovered a link between dispersion and multiplicative Diophantine approximation. After a brief
introduction to multiplicative Diophantine approximation, I will discuss how this link allows us
to improve several results by, roughly, the square-root of a logarithm.

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