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SUMMARY:Kelly Emmrich (Colorado State University)
DTSTART:20220419T190000Z
DTEND:20220419T193000Z
DTSTAMP:20260423T035743Z
UID:POINT/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/48/">N
 on-splitting of the Hilbert exact sequence via a principal version of the 
 Chebotarev density theorem</a>\nby Kelly Emmrich (Colorado State Universit
 y) as part of POINT: New Developments in Number Theory\n\n\nAbstract\nLet 
 $K/k$ be a Galois extension of number fields and $C$ a conjugacy class of 
 $\\text{Gal}(K/k)$. In this talk\, we will investigate the density of prim
 e ideals of $k$ which factor as the product of principal ideals in $K$ and
  have their associated Frobenius class equal to $C$. From this density we 
 will determine a method for verifying the nonsplitting of the Hilbert exac
 t sequence.\n\nRegister here: https://umanitoba.zoom.us/meeting/register/u
 5csf-CtqzstEtfTaoLl6L8gnaVIJnGVB49w\n
LOCATION:https://researchseminars.org/talk/POINT/48/
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