Thom polynomials and the Green-Griffiths conjecture

Thom polynomials and the Green-Griffiths conjecture

Tue, 02/03/2010
15:45 		Gergely Berczi (Oxford) Algebraic and Symplectic Geometry Seminar Add to calendar L3
Thom polynomials and the Green-Griffiths conjecture
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.