The 3rd MSJ-SI

The Mathematical Society of Japan, Seasonal Institute

Development of Galois-Teichmüller Theory
and Anabelian Geometry

October 30 Saturday, 10:00--11:00
M. A. Garuti (Università degli Studi di Padova)
Galois closures and the fundamental group scheme
The fundamental group scheme of a scheme X over a base B, when it exists, classifies torsors over X under finite flat B-group schemes. We will give a short introduction to the fundamental group scheme, and explain how its existence is related to the problem of finding Galois closures of finite flat morphisms.