Date: Tuesday, March 06, 2018
Location: 3096 East Hall (3:00 PM to 4:00 PM)
Title: Quasilength, Content and Qsequence
Abstract: Mel and Craig defined "content", which is a heuristic measure of local cohomology, in their joint paper[1]. This idea is that since the top local cohomology with support on I is a directed limit of Ext's, which are killed by a power of I, we should use the generalized length (called quasilength) to measure each Ext module and take the limit of that. It turns out that although the quasilength notion is quite hard to compute, the content notion behaves quite well in some "good" cases. I will explain all these notions and give some basic examples. I will also mention some open problems related to these notions. This talk is based on two papers [1] & [2].
[1] Hochster, M., & Huneke, C. (2009). Quasilength, latent regular sequences, and content of local cohomology. Journal of Algebra, 322(9), 31703193.
[2] Hochster, M., & Zhang, W. (2017). Content of local cohomology, parameter ideals, and robust algebras. Transactions of the American Mathematical Society, 1.
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Speaker: Zhan Jiang
Institution: University of Michigan
Event Organizer: Robert Walker studentcommalg@umich.edu
