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CATEGORIES:Junior Geometry Seminar
SUMMARY:Introduction to anabelian geometry - Alexander Bet
 ts (Oxford)
DTSTART;TZID=Europe/London:20160311T150000
DTEND;TZID=Europe/London:20160311T160000
UID:TALK64805AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/64805
DESCRIPTION:The etale fundamental group of a scheme is a profi
 nite group which simultaneously generalises the no
 tion of the fundamental group of a topological spa
 ce and the Galois group of a field. As a result\, 
 the etale fundamental group sees much of the Dioph
 antine geometry of a scheme\, in a sense made prec
 ise by Grothendieck's anabelian conjectures. We wi
 ll introduce the notion of the etale fundamental g
 roup\, and its relationship to the Diophantine geo
 metry of curves over number fields. Time permittin
 g\, we may also introduce a suitable linearised va
 riant\, the de Rham fundamental group\, as well as
  describing how one relativises the definition to 
 S-schemes.
LOCATION:MR13
CONTACT:Christian Lund
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