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SUMMARY:Rachel Newton (King's College London)
DTSTART:20211020T140000Z
DTEND:20211020T150000Z
DTSTAMP:20260418T065655Z
UID:LNTS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/51/">Nu
 mber fields with prescribed norms</a>\nby Rachel Newton (King's College Lo
 ndon) as part of London number theory seminar\n\nLecture held in Huxley 14
 4\, Imperial.\n\nAbstract\nLet $G$ be a finite abelian group\, let $k$ be 
 a number field\, and let $\\alpha\\in k^\\times$. We count Galois extensio
 ns $K/k$ with Galois group $G$ such that $\\alpha$ is a norm from $K/k$.\n
 In particular\, we show that such extensions always exist. This is joint w
 ork with Christopher\nFrei and Daniel Loughran.\n
LOCATION:https://researchseminars.org/talk/LNTS/51/
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