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DTSTART:20170326T010000
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DTSTART:20171029T010000
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DTSTART;TZID=Europe/Paris:20170331T150000
DTEND;TZID=Europe/Paris:20170331T160000
DTSTAMP:20260504T153347
CREATED:20170331T130000Z
LAST-MODIFIED:20211104T104003Z
UID:8370-1490972400-1490976000@www.math.ens.psl.eu
SUMMARY:Wild ramification and K(pi\,1) spaces
DESCRIPTION:I will sketch the proof that every connected affine scheme in positivecharacteristic is a K(pi\,1) space for the etale topology.  The keytechnical ingredient is a ?RoeBertini-type?R statement regarding the wildramification of l-adic local systems on affine spaces. Its proof usesin an essential way recent advances in higher ramification theory dueto T. Saito.
URL:https://www.math.ens.psl.eu/evenement/wild-ramification-and-kpi1-spaces/
LOCATION:ENS Salle W
CATEGORIES:Variétés rationnelles
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20170331T163000
DTEND;TZID=Europe/Paris:20170331T173000
DTSTAMP:20260504T153347
CREATED:20170331T143000Z
LAST-MODIFIED:20211104T104003Z
UID:8371-1490977800-1490981400@www.math.ens.psl.eu
SUMMARY:Finite descent obstruction and non-abelian reciprocity.
DESCRIPTION:For a nice algebraic variety X over a number field F\, one of the central problems of Diophantine Geometry is to locate precisely the set X(F) inside X(A)\, where A denotes the ring of adèles of F. One approach to this problem is provided by the finite descent obstruction\, which is defined to be the set of adelic points which can be lifted to twists of torsors for finite étale group schemes over F on X. More recently\, Kim proposed an iterative construction of another subset of X(A) which contains the set of rational points. In this talk\, we compare the two constructions. Our main result shows that the two approaches are equivalent.
URL:https://www.math.ens.psl.eu/evenement/finite-descent-obstruction-and-non-abelian-reciprocity/
LOCATION:ENS Salle W
CATEGORIES:Variétés rationnelles
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