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VERSION:2.0
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SUMMARY:Local-global principles for multinorm equations
DTSTART:20121220T140000
DTEND:20121220T151500
DTSTAMP:20260406T162953Z
UID:b310d514072372a564ef955b0ae0774d58c8bc64a5e83587c90d0dfc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cyril Demarche (IM\, Jussieu)\nIn this work in progress (joint
  with Dasheng Wei)\, we are interested in generalizations of the classical
  Hasse norm principle for cyclic Galois extensions of number fields. Given
  a global field k and L_1\, ...\, L_n finite separable field extensions of
  k\, we study Hasse principle and weak approximation for the so- called mu
 ltinorm equations associated to (L_1\, ...\, L_n). In particular\, if an e
 lement in k^* is locally everywhere a product of norms for the extensions 
 L_i/k\, is this element a product of global norms for those extensions ? T
 his work follows earlier work by Hürlimann\, Colliot-Thélène and Sansuc
 \, Prasad and Rapinchuk and a recent work by Pollio and Rapinchuk. In part
 icular\, we prove an analogue of a conjecture by Pollio and Rapinchuk\, an
 d we provide a counterexample to their original conjecture.
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 nem
STATUS:CONFIRMED
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