Global non-deformability of irreducible compact Hermitian symmetric manifolds (Zoom)

The technique of higher order jets and jet differentials has been a powerful tool in complex geometry. We discuss its application to the global non-deformability problem. The problem of global non-deformability of the complex projective space was posed in 1958 by Kodaira and Spencer and later generalzied to irreducible compact Hermitian symmetric manifolds. It has been a longstanding open conjecture, known for the complex projective space and the hyperquadric or for Kähler deformation. We use high order jets to handle the Grassmannians and the other open cases.