**Date & Time:** Tuesday, April 08, 2014, 16:00-17:00.

**Venue:** Ramanujan Hall

**Title:** Castelnuovo regularity and graded rings associated to
an ideal

**Speaker: ** Parangama Sarkar, IIT Bombay

**Abstract:** I will present the paper "Castelnuovo regularity and graded rings
associated to an ideal" by Johnston and Katz. First I will discuss the
motivation behind the main theorem of this paper and relation between
Castelnuovo regularity of an associated graded ring of an ideal with
respect to maximal homogeneous ideal and Castelnuovo regularity of its
positive part. Then I will give the proof of the main theorem which is generalization of a theorem of Goto-Shimoda based on relation between Cohen-Macaulayness of Rees algebra
and graded associated ring of an ideal.