|Date: Tuesday, March 06, 2018
Location: 3096 East Hall (3:00 PM to 4:00 PM)
Title: Quasi-length, Content and Q-sequence
Abstract: Mel and Craig defined "content", which is a heuristic measure of local cohomology, in their joint paper. 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 quasi-length) to measure each Ext module and take the limit of that. It turns out that although the quasi-length 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  & .
 Hochster, M., & Huneke, C. (2009). Quasilength, latent regular sequences, and content of local cohomology. Journal of Algebra, 322(9), 3170-3193.
 Hochster, M., & Zhang, W. (2017). Content of local cohomology, parameter ideals, and robust algebras. Transactions of the American Mathematical Society, 1.
Speaker: Zhan Jiang
Institution: University of Michigan
Event Organizer: Robert Walker firstname.lastname@example.org