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Conference "Global Fields"
CNRS Poncelet

Conference "Global Fields"

October 25 - 28, 2011

Moscow, Russia

RAS Poncelet

Organisers: Philippe Lebacque (Laboratoire de Mathématiques de Besançon ), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics, IITP)

Reconstruction of fields from quotients of their absolute Galois groups (after Bogomolov--Tschinkel)

Marat Rovinsky (Moscow)

Friday 28 October, 15:00 - 16:30

Abstract

To a given field K one can associate some "structure", e.g., the isomorphism class of the automorphism group of a "universal" extension of K, possibly endowed with additional data. Then the natural question arises, whether the field K can be reconstructed from the associated "structure"? I am going to give a survey of possible settings, where this kind of questions admits a precise meaning, with emphasis on the work of Fedor Bogomolov and Yuri Tschinkel on geometric function fields.

Poncelet Laboratory web page