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SUMMARY:Katharina Muller (Université Laval/Goettingen)
DTSTART:20210924T190000Z
DTEND:20210924T200000Z
DTSTAMP:20260423T053047Z
UID:ANTULaval/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTULaval/1/
 ">Iwasawa theory of class groups in the case $p=2$</a>\nby Katharina Mulle
 r (Université Laval/Goettingen) as part of Algebra and Number Theory Semi
 nars at Université Laval\n\nLecture held in VCH2820.\n\nAbstract\nLet $K$
  be a $CM$ number field and $K_\\infty$ be its cyclotomic $Z_p$-extension 
 with intermediate layers $K_n$. If $p$ is odd we get a decomposition in pl
 us and minus parts of the class group and it is well known that the ideal 
 lift map from $K_n$ to $K_{n+1}$ is injective on the minus part of the cla
 ss group. For $p=2$ this is in general not true. We will provide a differe
 nt definition of the minus part and explain how inherits properties that a
 re known for $p>2$. If time allows we will also present an application of 
 these results to compute the $2$ class group of the fields $K_n$ for certa
 in base fields explicitely. Part of this is joint work with M.M. Chems-Edd
 in.\n
LOCATION:https://researchseminars.org/talk/ANTULaval/1/
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