8:00am 


9:00am 


10:00am 


11:00am 


12:00pm 


1:00pm 


2:00pm 


3:00pm 
[3:30pm] Tony Puthenpurakal, IIT Bombay
 Description:
Commutative algebra seminar
Tuesday, 27 September 2022 @3.30 pm.
Venue: Ramanujan Hall
Speaker: Tony Puthenpurakal, IIT Bombay
Title: On coefficient idealsII
Abstract: Let (A, m) be a CohenMacaulay local ring of dimension d ≥ 2 with infinite residue field and let I be an mprimary ideal. Let For 0 ≤ i ≤ d let Ii be the i thcoefficient ideal of I. Also let Ie = Id denote the RatliffRush closure of A. Let G = GI (A) be the associated graded ring of I. We show that if dim H j G+ (G) ∨ ≤ j−1 for 1 ≤ j ≤ i ≤ d−1 then (I n)d−i = Ifn for all n ≥ 1. In particular if G is generalized CohenMacaulay then (I n)1 = Ifn for all n ≥ 1. As a consequence we get that if A is an analytically unramified domain with G generalized CohenMacaulay, then the S2ification of the Rees algebra A[It] is L n≥0 Ifn.


4:00pm 


5:00pm 
[5:10pm] Prof. Nitsure
 Description:
Dear all,
Prof. Nitin Nitsure will give a series of lectures on 'Algebraic Stacks
and Moduli Theory' starting next week. The draft announcement is
attached.
The first talk will be introductory and will be accessible to everyone
with very minimal knowledge of algebraic geometry.
For the benefit of students, this is a very central and important area of
algebraic geometry and Prof. Nitsure is a very good lecturer. Do try and
attend the first lecture in Ramanujan Hall on Tuesday 27th at 5:10 pm. The
first talk will be of 1 hour.


6:00pm 

