|Parent Program:||Model Theory, Arithmetic Geometry and Number Theory|
|Location:||MSRI: Simons Auditorium|
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.No Notes/Supplements Uploaded No Video Files Uploaded