Algebra Seminar talk

Lior Barry-Soroker
Subgroups of étale fundamental groups

The étale fundamental group of a curve in positive characteristic is a complete mystery. This talk will focus on affine smooth curves. A recent approach is to study these groups via their closed subgroups. I will discuss the connection with permanence criteria for free profinite groups, and will present a recent result, a "diamond theorem", for these groups.