Seminar series
Date
Tue, 02 Mar 2010
Time
15:45 -
16:45
Location
L3
Speaker
Gergely Berczi
Organisation
Oxford
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.