Adam Topaz, University of California, Berkeley
“Minimalistic anabelian geometry and the mod-ell variant of Bogomolov’s program.”
In the early 90’s, Bogomolov proposed a program whose ultimate goal is to reconstruct function fields of higher-dimensional algebraic varieties from certain ”almost-abelian” quotients of their abso- lute Galois groups. Although this program remains unresolved in full generality, it has been completed in a few special but important cases by Bogomolov-Tschinkel, Pop and Silberstein. After an introduc- tion to Bogomolov’s program, I will discuss its mod-ell generalization/strengthening, as well as the fundamental difficulties that arise in the mod-ell context. Finally, I will describe recent work which overcomes these difficulties by utilizing results from geometric model theory.
MC 5501
Refreshments will be served also in MC 5501 at 3:30 p.m. Everyone is welcome to attend.