Sep 15 2021

Commutative Algebra Seminar: Annihilating local cohomology modules and the weak implies strong conjecture, by Thomas Polstra

September 15, 2021

3:00 PM - 3:50 PM

Location

Zoom

Address

Chicago, IL

Thomas Polstra (University of Virginia): Annihilating local cohomology modules and the weak implies strong conjecture

Let $(R,\mathfrak{m},k)$ be local normal Cohen-Macaulay domain and $I\subseteq R$ an ideal of pure height $1$. For each natural number $N$ let $I^{(N)}$ denote the $N$th symbolic power of $I$. We consider annihilators of the local cohomology modules $H^i_{\mathfrak{m}}(R/I^{(N)})$. When $R$ is of prime characteristic $p>0$ and $I$ is a multiple of an anticanonical ideal of $R$ then understanding the annihilators $H^{i}_{\mathfrak{m}}(R/I^{(p^e)})$ as $e$ varies through the natural numbers sheds light on the weak implies strong conjecture from tight closure theory. This talk is based on joint work with Ian Aberbach.

Please click here to make changes to, or delete, this seminar announcement.

Contact

Wenliang Zhang

Date posted

Sep 28, 2021

Date updated

Sep 28, 2021

Speakers

Thomas Polstra | (University of Virginia)