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SUMMARY:Explicit local reciprocity for tame extensions - Rachel Newton (Ca
 mbridge)
DTSTART:20111101T143000Z
DTEND:20111101T153000Z
UID:TALK32947@talks.cam.ac.uk
DESCRIPTION:I will take the old-fashioned approach and develop a definitio
 n of\nthe local reciprocity map using cyclic algebras. Along the way\, I w
 ill\nintroduce the Brauer group (which classifies central simple algebras)
  and\ndefine the Hasse invariant.\n\nI will consider a tamely ramified abe
 lian extension of local fields of degree\n_n_\, without assuming the prese
 nce of the _n_ th roots of unity in the base field.\nI will give an explic
 it formula which computes the local reciprocity map in\nthis situation.\n\
 nThis talk should be accessible to anyone who has encountered extensions o
 f\nlocal fields.
LOCATION:MR13
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