Fachvortrag in englischer Sprache

For a singular point of a hypersurface f=0 the failure of the Hilbert Syzygy Theorem can be understood in terms of matrix factorizations---pairs of square matrices A,B of functions that vanish at the singular point, such that AB and BA are equal to f times an identity matrix. This elementary idea has had many applications. I'll describe some of the basic theory and recent progress in extending it beyond the hypersurface case.

Speaker: Prof. Dr. David Eisenbud, University of California, Berkeley