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SUMMARY:Some Upper Bounds on Dense Module Sublattices from Number Fields
DTSTART:20261110T133000Z
DTEND:20261110T150000Z
DTSTAMP:20261104T143500Z
UID:indico-event-17649@indico.math.cnrs.fr
DESCRIPTION:Speakers: Frédérique Oggier\n\nWe consider the problem of fi
 nding dense rank one module sublattices in module lattices of a given rank
 \, where by module lattice we mean a lattice obtained as $R$-linear combin
 ations of vectors with coefficients in a number field $K$\, with ring of i
 ntegers $\\mathcal{O}_K$\, and $R\\subseteq \\mathcal{O}_K$ an order. We p
 rovide generic upper bounds on the normalized volume of rank one module su
 blattices for $K$ totally real or CM\, specific bounds for quadratic exten
 sions and some cyclotomic extensions\, as well as exact values for some no
 rm Euclidean quadratic extensions. \n\nhttps://indico.math.cnrs.fr/event/
 17649/
LOCATION:Salle de conférences (XLIM)
URL:https://indico.math.cnrs.fr/event/17649/
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