Symmetric differentials and the fundamental group

Topology of Algebraic Varieties
Topic:Symmetric differentials and the fundamental group
Speaker:Burt Totaro
Affiliation:University of California, Los Angeles; Member, School of Mathematics
Date:Friday, September 26
Time/Room:11:15am - 12:15pm/S-101

Esnault asked whether a smooth complex projective variety with infinite fundamental group has a nonzero symmetric differential, meaning a section of some symmetric power of the cotangent bundle. We prove a partial result in this direction, using Simpson's theory of representations of the fundamental group. The result gives some information on Kobayashi hyperbolicity for these varieties. (Joint with Yohan Brunebarbe and Bruno Klingler)