News

The Grothendieck fundamental groups: a basic introduction

ARGOMENTI: Convegni

SEMINARIO DOTTORATO
Wednesday 15 October 2008 h. 15:00, room 1C/150

Nicola MAZZARI (Ph.D. in Pure Math., Dip. Mat. "F. Enriques", Milano)
"The Grothendieck fundamental groups: a basic introduction"

-Abstract
We give a basic introduction to the Grothendieck fundamental group. In topology there are (at least) two ways to define the fundamental group $pi_1(S,s)$ of a topological space S. Namely we can view it as
the set of loops based on a point s up to homotopy, or as the group of
automorphism of the universal cover. Only this second approach can be made algebraic and allows to define the Grothendieck (or etale) fundamental group $pi_1^et(S,s)$ of a scheme S with respect to a geometric point s. We will consider only affine schemes and we don't assume the reader familiar with algebraic geometry.

Rif. int. C. Marastoni, T. Vargiolu, M. Dalla Riva

Download Seminario Dottorato

NEWS: New Second Level Degree in Data Science - Second cycle degree - a. y. 2017/18 X