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SUMMARY:Alina Bucur (UC San Diego)
DTSTART:20230413T210000Z
DTEND:20230413T220000Z
DTSTAMP:20260423T024616Z
UID:UCSD_NTS/96
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/96/
 ">Counting $D_4$ quartic extensions of a number field ordered by discrimin
 ant</a>\nby Alina Bucur (UC San Diego) as part of UCSD number theory semin
 ar\n\nLecture held in APM 6402 and online.\n\nAbstract\nA guiding question
  in number theory\, specifically in arithmetic statistics\, is counting nu
 mber fields of fixed degree and Galois group as their discriminants grow t
 o infinity.  We will discuss the history of this question and take a close
 r look at the story in the case of quartic fields. In joint work with Flor
 ea\, Serrano Lopez\, and Varma\, we extend and make explicit the counts of
   extensions of an arbitrary number field that was done over the rationals
  by Cohen\, Diaz y Diaz\, and Olivier.\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/96/
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