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\begin{document}
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{\Large Department of Mathematics, BGU}

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{\Huge AGNT}\\[0.2\baselineskip]

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\textbf{On} \emph{Wednesday, December 22, 2021}
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\textbf{At} \emph{16:00 -- 17:15}
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\textbf{In} \emph{-101}

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{\large\scshape Ido Efrat 
  %
  (BGU)
}
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will talk about
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{\Large\bfseries Filtrations of profinite groups as intersections and absolute Galois groups\par}
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\textsc{Abstract:}
The general structure of absolute Galois groups of fields as profinite groups is still a mystery. Among the very few
known properties of such groups are several “Intersection Theorems”, describing subgroups in standard filtrations
of absolute Galois groups as the intersection of all normal open subgroups with quotient in a prescribed list of
finite groups. These theorems are based on deep cohomological properties of absolute Galois groups. We will
present a general “Transfer Theorem” for profinite groups, which explains what lies behind these intersection
theorems.








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