Seminar
| Parent Program: | -- |
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| Location: | SLMath: Online/Virtual |
To attend this seminar, you must register in advance, by clicking HERE.
To attend this seminar, you must register in advance, by clicking HERE.
This talk is about associated primes of powers of ideals in Noetherian commutative rings. By a result of Brodmann, for any ideal $I$ in a ring $R$, the set of associated primes of $I^n$ stabilizes for large $n$. In general, the number of associated primes can go up or down as $n$ 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 $a_n$. A family of examples shows that $I$ may be prime and the number of associated primes of $I^2$ need not be polynomial in the dimension of the ring.
This is a report on four separate projects with Sarah Weinstein, Jesse Kim, Robert Walker, and ongoing work with Roswitha Rissner.
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Notes
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