Speaker: Yongwei Yao

Title: An embedding theorem for modules of finite projective dimension.

Abstract: Let $M$ be any finitely generated module of finite projective

dimension over a commutative Noetherian ring $R$. Then $M$ embeds into a

finite direct sum $Z$ of cyclic $R$-modules each of which is the

quotient of $R$ by an ideal generated by an $R$-regular sequence. This

can be done so that both $Z/M$ and hence $Z$ have projective dimension

no more than the projective dimension of $M$. This is joint work with

Mel Hochster.