|Parent Program:||Model Theory, Arithmetic Geometry and Number Theory|
|Location:||MSRI: Simons Auditorium|
Anabelian geometry is a part of modern Galois theory which lies firmly in the intersection of arithmetic/algebraic geometry and algebraic topology, and also employs techniques from model theory. In this talk I will describe some of the main questions considered by anabelian geometry, some of the landmark results in the subject, and some of the (MANY) open questions. I'll also give some more details concerning a recent facet of (birational) anabelian geometry which deals with function fields over algebraically closed fields and "almost-abelian" Galois groups.