Vikram Mehta : The Weak Density of the Fundamental Group Scheme

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 19, 2010, 4 p.m.

In

SEO 636

Abstract

In characteristic zero, it is known that if $\pi_{et} (X) = 1$, then any semistable bundle with zero Chern classes is trivial. This follows from the uniformization theorems and a theorem of Selberg. We prove a corresponding theorem in characteristic $p$, using the fundamental group scheme of Nori, Langer's boundedness theorem and Hrushovski's work on the Frobenius automorphism. (Joint work with Helene Esnault.)