Time

Mar 25 2008 - 2:30pm - 3:30 pm

Location

DU 0016

Speaker

Pit-Mann Wong (University of Notre Dame)

Abstract

The main purpose is to investigate the size of the base locus of the bundle of jet differentials over projective varieties of "general type". The main techniques are (1) a Schwarz Lemma of for jet differentials and (2) a "moving Lemma" for holomorphic liftings of entire holomorphic curves $f : \mathbf{C} \to M$. These reults are obtained via the Oka-Grauert-Principle for holomorphic jet bundles. The information on the size of the base locus will be used to establish results in hyperbolic geometry.

Notes

Attached here is a brief outline of P.-M. Wong's talk. Whomever would like to take an advance look are welcome to it.