Do you want to remove all your recent searches?

All recent searches will be deleted

Like
Watch later
Share
Add to

Moduli spaces in graded ring theory - Sue Sierra (Edinburgh) - Edinburgh Geometry Seminar

7 years ago607 views

Date: Thursday 20th October.
Speaker: Sue Sierra (Edinburgh).
Title: Moduli spaces in graded ring theory

Abstract: Let R be a noetherian N-graded algebra, generated in degree 1,
over the complex numbers. A point module is a cyclic R-module with
Hilbert series 1/(1-s). If R is strongly noetherian --- that is, it remains noetherian upon base extension --- then its point modules are parameterized by a projective scheme X, and this induces a canonical map from R to a twisted homogeneous coordinate ring on X. This technique was crucial in the analysis of noncommutative P^2's (regular algebras of dimension 3).
We study a non-strongly noetherian case: the noncommutative Rees rings known as naive blowup algebras. We show there is a stack that represents point modules, and that a certain equivalence relation on point modules is corepresented by a projective scheme.
We show that this geometry characterises naive blowup algebras. This is joint work with Tom Nevins.

Report this video

Select an issue

Embed video

Moduli spaces in graded ring theory - Sue Sierra (Edinburgh) - Edinburgh Geometry Seminar
Autoplay
<iframe frameborder="0" width="480" height="270" src="//www.dailymotion.com/embed/video/xmcjx5" allowfullscreen allow="autoplay"></iframe>
Add this video to your site using the above embed code