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SUMMARY:Abbas Maarefparvar (University of Lethbridge)
DTSTART:20240214T204500Z
DTEND:20240214T214500Z
DTSTAMP:20260423T035532Z
UID:NTC/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/41/">Hil
 bert Class Fields and Embedding Problems</a>\nby Abbas Maarefparvar (Unive
 rsity of Lethbridge) as part of Lethbridge number theory and combinatorics
  seminar\n\nLecture held in University of Lethbridge: M1060 (Markin Hall).
 \n\nAbstract\nThe class number one problem is one of the central subjects 
 in algebraic number theory that turns back to the time of Gauss. This prob
 lem has led to the classical embedding problem which asks whether or not a
 ny number field K can be embedded in a finite extension L with class numbe
 r one. Although Golod and Shafarevich gave a counterexample for the classi
 cal embedding problem\, yet one may ask about the embedding in 'Polya fiel
 ds'\, a special generalization of class number one number fields. The latt
 er is the 'new embedding problem' investigated by Leriche in 2014.\nIn thi
 s talk\, I briefly review some well-known results in the literature on the
  embedding problems. Then\, I will present the 'relativized' version of th
 e new embedding problem studied in a joint work with Ali Rajaei.\n
LOCATION:https://researchseminars.org/talk/NTC/41/
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