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SUMMARY:Quid of Hilbert class field tower and ramification of prime ideals
DTSTART:20261104T170000Z
DTEND:20261104T183000Z
DTSTAMP:20261110T172900Z
UID:indico-event-17645@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marie Gros (Institute de Mathematiques de Toulouse)\
 n\nThe goal of this talk is to have a peak at the class field tower proble
 m. For this\, we will have to understand the concept involved. In the cont
 ext of a number field (finite field extension of Q)\, I will give meaning 
 to prime ideal and look at what happens to a prime ideal when we take a fi
 eld extension. This will allow us to introduce the concept of ramification
  and inertia and give us the pleasure of using a little bit of Galois theo
 ry. From there\, I will be able to define the class group of a number fiel
 d\, and reach the goal of the definition of the Hilbert class field tower.
 \n\nhttps://indico.math.cnrs.fr/event/17645/
LOCATION:207 (Salle Pellos) (1R2)
URL:https://indico.math.cnrs.fr/event/17645/
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