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Speaker:

Niclas Technau
Affiliation:

University of Graz/MPIM
Date:

Wed, 08/11/2023 - 13:30 - 14:30
Location:

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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