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DTSTART:19700329T010000
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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Higher Class Field Theory in Positive Characterist
 ic - Kirsty Syder (University of Nottingham)
DTSTART;TZID=Europe/London:20120210T140000
DTEND;TZID=Europe/London:20120210T150000
UID:TALK36007AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36007
DESCRIPTION:Class field theory aims to classify the abelian ex
 tensions of a field. Higher class field theory stu
 dies the abelian extensions of fields arising from
  structures in algebraic geometry. The talk begins
  with a discussion of the basics of classical clas
 s field theory\, then defines higher local fields\
 , with several basic examples. We will see how to 
 construct a reciprocity map for wildly ramified ex
 tensions for higher local fields of positive chara
 cteristic using Parshin's Witt vector pairing\, an
 d how this may be applied to the class field theor
 y of schemes over finite fields.
LOCATION:MR3
CONTACT:Jonathan Nelson
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