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Provanjan Mallick

Description: Speaker: Provanjan Mallick

Title : Asymptotic prime divisors - III

Abstract : Consider a Noetherian ring R and an ideal I of R. Ratliff asked
a question that what happens to Ass(R/I^n) as n gets large ? He was able
to answer that question for the integral closure of I. Meanwhile Brodmann
answered the original question, and proved that the set Ass(R/I^n)
stabilizes for large n.
We will discuss the proof of stability of Ass(R/I^n). We will also
give an example to show that the sequence is not monotone. The aim of
this series of talks to present the first chapter of S. McAdam,
Asymptotic prime divisors, Lecture Notes in Mathematics 1023,
Springer-Verlag, Berlin, 1983.
Location: Ramanujan Hall
Date: Tuesday, October 31, 2017
Time: 10:30am-11:25am IST
Duration: 55 minutes
Access: Public