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.