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SUMMARY:Higher Class Field Theory in Positive Characteristic - Kirsty Syde
 r (University of Nottingham)
DTSTART:20120210T140000Z
DTEND:20120210T150000Z
UID:TALK36007@talks.cam.ac.uk
CONTACT:Jonathan Nelson
DESCRIPTION:Class field theory aims to classify the abelian extensions of 
 a field. Higher class field theory studies the abelian extensions of field
 s arising from structures in algebraic geometry. The talk begins with a di
 scussion of the basics of classical class field theory\, then defines high
 er local fields\, with several basic examples. We will see how to construc
 t a reciprocity map for wildly ramified extensions for higher local fields
  of positive characteristic using Parshin's Witt vector pairing\, and how 
 this may be applied to the class field theory of schemes over finite field
 s.
LOCATION:MR3
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