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SUMMARY:Ilaria Viglino (EPFL)
DTSTART:20250430T150000Z
DTEND:20250430T160000Z
DTSTAMP:20260418T070002Z
UID:LNTS/161
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/161/">M
 oment estimates of module lattice points for effective lattice constructio
 ns</a>\nby Ilaria Viglino (EPFL) as part of London number theory seminar\n
 \nLecture held in K2.40\, King's Building\, King's College London\, WC2R 2
 LS.\n\nAbstract\nWe examine the moments of the number of lattice points in
  a fixed ball of volume $V$ for lattices in Euclidean space which are modu
 les over the ring of integers of a number field $K$. In particular\, we sh
 ow that moments obtained for “lifts of codes” to $\\mathcal{O}_K$-modu
 les converge to the Rogers integral formula for the space of free $\\mathc
 al{O}_K$-module lattices. This extends work of Rogers for $\\mathbb{Z}$-la
 ttices. Joint work with Maryna Viazovska\, Nihar Gargava and Vlad Serban.\
 n\nVisitors will need to sign in at the Strand Building reception desk and
  receive an events sticker to access the building.\n
LOCATION:https://researchseminars.org/talk/LNTS/161/
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