Daniel Smolkin : Diagonal cartier algebras and symbolic powers

Posted by Kevin Tucker , part of the Commutative Algebra Seminar.

At

Oct. 22, 2018, 3 p.m.

In

612 SEO

Abstract

An important question in commutative algebra is the relationship between ordinary and symbolic powers of ideals. Indeed, Huneke--Katz--Validashti ask: for a domain R, does there always exist a number h so that the hn-th symbolic power of every prime ideal P is contained in its n-th ordinary power? I will present recent progress on answering this question, joint with Janet Page and Kevin Tucker, that was done by studying p-inverse linear maps compatible with higher diagonal embeddings. Time permitting, we will investigate how the set of such maps reflects the singularities of R.