Speaker: Matan Ginzburg
(Tel-Aviv University):
Title:
Semi-free subgroups of profinite surface groups

Abstract:
We prove that every infinite index normal subgroup of a profinite surface group is contained in a normal semi-free profinite subgroup. This generalizes a result of Bary-Soroker, Zalesskii and Stevenson, in a direction suggested by their work. Time permitting, we will discuss work in progress on some generalizations and analogues for Hilbertian fields.

This is a joint work with Mark Shusterman.