Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
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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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