SEMINARIO DI MATEMATICA mercoledì 28 marzo 2007 ore 16.00 Scuola Normale Superiore Pisa (Aula Russo) Niels Borne Université de Lille Terrà un seminario dal titolo: "An algebraic approach of fundamental groups of pointed curves" Abstract Let X be a smooth projective algebraic curve over an algebraically closed field of characteristic zero, and D a finite set of points. Then the étale fundamental group of X-D (that by definition classifies finite covers of X unramified outside of D) is well known by analytic methods : this is the (profinite) topological fundamental group of a Riemann surface of same genus. A famous problem is to find an algebraic proof of this fact. I will start with the central example where X is the projective line minus 3 points, and show that we can describe algebraically the solvable covers in this case. Then I will describe a more general attempt, based on parabolic sheaves. Tutti gli interessati sono invitati a partecipare. _______________________________________________ Settimanale mailing list Settimanale@mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale