EVENT DETAILS AND ABSTRACT

Title: Grothendieck's section conjecture
Speaker: Kirsten Wickelgren
Speaker Info: Georgia Institute of Technology
Brief Description:
Special Note:
Abstract:

Grothendieck's anabelian conjectures predict that the etale fundamental group is a fully faithful functor from certain anabelian schemes to profinite groups with Galois action, or equivalently that the maps between anabelian schemes are the same as maps between their etale homotopy types. The case of maps from Spec \mathbb{R} follows from the equivalence between fixed points and homotopy fixed points for Z/2-actions on finite complexes, as shown by Gunnar Carlsson and Haynes Miller independently. We will discuss the anabelian conjectures and talk about some work in the case of maps from the spectrum of a field.