Speaker

:

Ananth Hariharan

Subject Area

:

Mathematics

Venue

:

Lecture Hall - I, Dept of Mathematics

Time

:

4.00 pm

Date  

:

June 24,2008 (Tuesday)

Title

:

The Gorenstein Colength of an Artinian Local Ring

The question we are interested in is the following: Given an Artinian local ring, how 'close' can we get to it by an Artinian Gorenstein local ring. In this talk I
will make the notion of being 'close' precise numerically. We will exhibit some natural bounds on this number and discuss some (old and new) results. In particular,
if R is a quotient of a power series ring over a field of characteristic zero by a power of the maximal ideal, we will see how one can compute this number.