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SUMMARY:Anna Szumowicz (Sorbonne Université\, IMJ-PRG)
DTSTART:20200608T111500Z
DTEND:20200608T121500Z
DTSTAMP:20260423T022143Z
UID:WarsawNT/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/3/"
 >Equidistribution in number fields</a>\nby Anna Szumowicz (Sorbonne Univer
 sité\, IMJ-PRG) as part of Warsaw Number Theory Seminar\n\nLecture held i
 n room 403 at IMPAN.\n\nAbstract\nThe notion of $\\mathfrak{p}$-ordering c
 omes from the work of Bhargava on integer-valued polynomials. Let $k$ be a
  number field and let $\\mathcal{O}_{k}$ be its ring of integers. A sequen
 ce of elements in $\\mathcal{O}_{k}$ is a simultaneous $\\mathfrak{p}$-ord
 ering if it is equidistributed modulo every prime ideal in   $\\mathcal{O}
 _{k}$ as well as possible. We prove that $\\mathbb{Q}$ the only number fie
 ld $k$ such that $\\mathcal{O}_{k}$ admits a simultaneous $\\mathfrak{p}$-
 ordering. It is a joint work with Mikołaj Frączyk.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/3/
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