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DTSTART:19810329T020000
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UID:news1285@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20220117T122020
DTSTART;TZID=Europe/Zurich:20220120T170000
SUMMARY:Number Theory Web Seminar: Jozsef Solymosi (University of British C
olumbia)
DESCRIPTION:We establish lower bounds on the rank of matrices in which all
but the diagonal entries lie in a multiplicative group of small rank. Appl
ying these bounds we show that the distance sets of finite pointsets in
ℝ^d generate high rank multiplicative groups and that multiplicative gro
ups of small rank cannot contain large sumsets. (Joint work with Noga Alon
)\\r\\nFor further information about the seminar\, please visit this webpa
ge [https://www.ntwebseminar.org/].
X-ALT-DESC:We establish lower bounds on the rank of matrices in which al
l but the diagonal entries lie in a multiplicative group of small rank. Ap
plying these bounds we show that the distance sets of finite pointsets in
ℝ^d generate high rank multiplicative groups and that multiplicative gro
ups of small rank cannot contain large sumsets. (Joint work with Noga Alon
)

\nFor further information about the seminar\, please visit this webpage.

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