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SUMMARY:Effective Artin-Schreier-Witt theory for curves
DTSTART:20260416T140000Z
DTEND:20260416T150000Z
DTSTAMP:20260409T220100Z
UID:indico-event-16377@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rubén Muñoz--Bertrand (Inria / École polytechniqu
 e)\n\nIn arithmetic geometry\, Artin-Schreier-Witt theory gives a way to c
 onstructunramified covers of curves. However\, nobody has ever made a full
  computationusing these techniques. In this talk\, we will explain how we 
 implemented analgorithm which enables one to compute such covers. I will e
 xplain themotivation behind this problem\, and the challenges that one fac
 es using thistheory. For our computations\, it is necessary to have an alg
 orithm whichcomputes the fixed points of a Frobenius-semilinear map. I wil
 l also explainhow to implement such an algorithm. We will give application
  of this work\,which is joint with Christophe Levrat (Inria Saclay)\, to e
 rror correctingcodes.\n\nhttps://indico.math.cnrs.fr/event/16377/
LOCATION:Salle Pellos (1R2-207) (IMT)
URL:https://indico.math.cnrs.fr/event/16377/
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