Algebraic Geometry Seminar
Burt Totaro
UCLA/Cambridge
Symmetric differentials and the fundamental group
Abstract: Consider a smooth complex projective variety X. Hodge theory
shows that sections of exterior powers of the cotangent bundle
are related to the topology of X. What about symmetric powers
of the cotangent bundle? We discuss the relation
between the topology of X and its "symmetric differentials". One interest
of these results is that symmetric differentials give information
in the irection of "Kobayashi hyperbolicity"; for example, they limit
how many rational curves X can contain.
Thursday November 15, 2012 at 4:00 PM in SEO 427