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SUMMARY:Adam Morgan (Mathematisches Forschungsinstitut Oberwolfach)
DTSTART:20210217T160000Z
DTEND:20210217T170000Z
DTSTAMP:20260423T024737Z
UID:hnts/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/27/">4-
 ranks of class groups of biquadratic fields</a>\nby Adam Morgan (Mathemati
 sches Forschungsinstitut Oberwolfach) as part of Heilbronn number theory s
 eminar\n\n\nAbstract\nLet K be a quadratic number field\, and consider the
  family of biquadratic fields $K_n= K(\\sqrt{n})$ for $n$ a squarefree int
 eger. I will discuss joint work with Peter Koymans and Harry Smit in which
  we study\, as $n$ varies\, the 4-rank of the class group of $K_n$\, showi
 ng in particular that for 100 % of squarefree n\, the 4-rank is given by a
 n explicit formula involving the number of prime divisors of n that are in
 ert in $K$. If time permits I will discuss an elliptic curve analogue of t
 his work\, which is joint with Ross Paterson.\n
LOCATION:https://researchseminars.org/talk/hnts/27/
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