Date and Time: 8 September 2020, 6:30 pm IST/ 1:00 pm GMT/ 09:00 am EDT
(joining time : 6:15 pm IST - 6:30 pm IST)
Google Meet link:
https://meet.google.com/tmh-yngo-ksk
Speaker: Irena Swanson, Purdue University
Title: Primary decomposition and powers of ideals
Abstract: This talk is about associated primes of powers of an ideal in
Noetherian commutative rings. Brodmann proved that the set of associated
primes stabilizes for large powers. In general, the number of associated
primes can go up or down as the exponent increases. This talk is about
sequences $\{ a_n \}$ for which there exists an ideal $I$ in a Noetherian
commutative ring $R$ such that the number of associated primes of $R/I^n$
is $a_n.$ This is a report on my work with Sarah Weinstein, with Jesse Kim
and ongoing work with Roswitha Rissner.