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Home » MT Research Seminar: Towards a Z/ell analogue of Bogomolov's birational anabelian geometry.

Seminar

MT Research Seminar: Towards a Z/ell analogue of Bogomolov's birational anabelian geometry. April 01, 2014 (01:30 PM PDT - 03:00 PM PDT)
Parent Program: Model Theory, Arithmetic Geometry and Number Theory
Location: MSRI: Simons Auditorium
Speaker(s) Adam Topaz (University of California, Berkeley)
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Abstract/Media

In the early 90's, F. Bogomolov introduced a program whose ultimate goal is to reconstruct function fields of dimension > 1 over algebraically closed fields from their pro-ell 2-step nilpotent Galois groups.

Although it is far from being resolved in full generality, this program has since been carried through for function fields over the algebraic closure of a finite field by Bogomolov-Tschinkel and by Pop.

After an introduction to Bogomolov's program, I will describe the possibility of a Z/ell-analogue of Bogomolov's program, the inherent problems/difficulties that come with this analogue, and some partial results in this direction.

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