Algebraic Geometry Seminar
Vikram Mehta
Tata Institute
The Weak Density of the Fundamental Group Scheme
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.)
Tuesday October 19, 2010 at 4:00 PM in SEO 636