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SUMMARY:Introduction to anabelian geometry - Alexander Betts (Oxford)
DTSTART:20160311T150000Z
DTEND:20160311T160000Z
UID:TALK64805@talks.cam.ac.uk
CONTACT:Christian Lund
DESCRIPTION:The etale fundamental group of a scheme is a profinite group w
 hich simultaneously generalises the notion of the fundamental group of a t
 opological space and the Galois group of a field. As a result\, the etale 
 fundamental group sees much of the Diophantine geometry of a scheme\, in a
  sense made precise by Grothendieck's anabelian conjectures. We will intro
 duce the notion of the etale fundamental group\, and its relationship to t
 he Diophantine geometry of curves over number fields. Time permitting\, we
  may also introduce a suitable linearised variant\, the de Rham fundamenta
 l group\, as well as describing how one relativises the definition to S-sc
 hemes.
LOCATION:MR13
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