Based on hep-th/0912.3249 by Arkani-Hamed et. al..
This is a review of hep-th/0912.4912
The Green-Griffiths conjecture from 1979 says that every projective algebraic variety $X$ of general type contains a certain proper algebraic subvariety $Y$ such that all nonconstant entire holomorphic curves in $X$ must lie inside $Y$. In this talk we explain that for projective hypersurfaces of degree $d>dim(X)^6$ this is the consequence of a positivity conjecture in global singularity theory.
The background for the multitarget tracking problem is presented
along with a new framework for solution using the theory of random
finite sets. A range of applications are presented including
submarine tracking with active SONAR, classifying underwater entities
from audio signals and extracting cell trajectories from biological
data.