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SUMMARY:Ax-Kochen-Ershov Principles and Artin's Conjecture
DTSTART:20250528T150000Z
DTEND:20250528T170000Z
DTSTAMP:20260505T060200Z
UID:indico-event-14439@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paulo Soto (Université Paris Cité)\n\nIt is known 
 to be false that any homogeneous polynomial over Q_p of degree d in more t
 han d^2 variables has a non-trivial zero in Q_p. However\, a weaker versio
 n of this question remains true thanks to a transfer principle between Q_p
  and F_p((t)) "as p goes to infinity" and also by a theorem of Lang. We wi
 ll explain this transfer principle due to Ax\, Kochen and Ershov\, which i
 s itself a consequence of relative quantifier elimination of the theory of
  henselian valued fields of equicharacteristic 0. We will also introduce o
 ther transfer principles in some other theories of henselian valued fields
 .\n\nhttps://indico.math.cnrs.fr/event/14439/
LOCATION:Salle Fokko Du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/14439/
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