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SUMMARY:Irena Swanson (Purdue University)
DTSTART:20200908T130000Z
DTEND:20200908T140000Z
DTSTAMP:20260423T020958Z
UID:VCAS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/19/">Pr
 imary decomposition and powers of ideals</a>\nby Irena Swanson (Purdue Uni
 versity) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAb
 stract\nThis talk is about associated primes of powers of an ideal in Noet
 herian\ncommutative rings.  Brodmann proved that the set of associated pri
 mes\nstabilizes for large powers.  In general\, the number of associated p
 rimes can\ngo up or down as the exponent increases.  This talk is about se
 quences\n$\\{a_n\\}$ for which there exists an ideal $I$ in a Noetherian c
 ommutative\nring $R$ such that the number of associated primes of $R/I^n$ 
 is $a_n$.  This\nis a report on my work with Sarah Weinstein\, with Jesse 
 Kim and ongoing\nwork with Roswitha Rissner.\n
LOCATION:https://researchseminars.org/talk/VCAS/19/
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