Algebra Seminar talk
2011-07-14
Lior Barry-Soroker
Subgroups of étale fundamental groups
Abstract:
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.