Janet Page

Description

Title: Measuring the Gorenstein property with the trace of the canonical module

Abstract:
The study of singularities has a long history in commutative algebra and algebraic geometry. One approach is to provide properties which give classes of rings or varieties whose singularities are manageable, and the class of Gorenstein rings is such a class. In this talk, I will introduce the trace of the canonical module, which measures how close a ring is to being Gorenstein. I will discuss recent results on this trace for rings in which we can exploit some combinatorial data, including Hibi rings and more general toric rings. This is joint work with Jürgen Herzog and Fatemeh Mohammadi.

Period	4 Mar 2019
Visiting from	University of Bristol (United Kingdom)
Visitor degree	PhD
Degree of Recognition	Local