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Galois axioms for fields

Presented by: 
J Koenigsmann [Freiburg]
Wednesday 23rd March 2005 - 15:30 to 17:00
INI Seminar Room 1

I will sketch the proof of a new result in birational anabelian geometry: Almost any perfect field K is determined up to isomorphism by the absolute Galois group of th rational function field K(t) over K. This gives rise to an axiomatization of the elementary theory of K by axiomatizing the complete system of finite quotients of this absolute Galois group. As application, I will indicate consequences for the decidability of the perfect hull of F_p((t)).

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons