May 30, Wednesday, 15:30, room 211

Ivan Kochkin

Minimal free resolutions and syzygies

A minimal free resolution is an invariant associated with a graded module over a ring. We focus on graded modules over the ring of polynomials in several variables. We calculate minimal free resolutions by syzygies (generalization of relations on relations) in special cases and discuss connections with the Hilbert function and projective geometry. All necessary definitions will be given in the talk.