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SUMMARY:Iterating the algebraic étale-Brauer set - Francesca Balestrieri 
 (University of Oxford)
DTSTART:20170516T133000Z
DTEND:20170516T143000Z
UID:TALK72369@talks.cam.ac.uk
CONTACT:G. Rosso
DESCRIPTION:We iterate the algebraic étale-Brauer set of a nice variety X
  over a number field k and show that\, when the geometric étale fundament
 al group of X is finite\, the iteration doesn't yield any new information.
  This result gives\, among other things\, evidence for the conjectures by 
 Colliot-Thélène and Skorobogatov about the arithmetic behaviour of ratio
 nal points on rationally connected varieties and K3 surfaces\, and a parti
 al answer to a question by Poonen on iterating the descent set.
LOCATION:MR13
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