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SUMMARY:Canonical dimension estimates for p-adic Lie groups - Christian Jo
 hansson
DTSTART:20161012T153000Z
DTEND:20161012T163000Z
UID:TALK68099@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:Let G be a compact p-adic Lie group with Iwasawa algebra R ove
 r Qp. Any finitely generated R-module M has an invariant\, called its cano
 nical dimension\, which equals the dimension of the support of M if G is c
 ommutative. Ardakov and Wadsley proved that if the Lie algebra of G is spl
 it and semisimple\, there is a nontrivial constant C=C(G) such that any\nm
 odule with dimension less than C has dimension 0. I will talk about how to
  remove the condition that the Lie algebra of G is split\, and also detail
  my\nmotivation for thinking about modules over Iwasawa algebras. This is 
 joint work with Konstantin Ardakov.
LOCATION:MR12
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