Local Cohomology of Thickenings on Sequences of Rings

Abstract: Let $R$ be a standard graded polynomial ring and let $I$ be a homogenous prime ideal of $R$. Bhatt, Blickle, Lyubeznik, Singh, and Zhang examined the local cohomology of $R/I^t$ as $t$ grows arbitrarily large. I will discuss their results and give an explicit description of the transition maps between these local cohomology modules in a particular example. I will also consider asymptotic structure in a different direction: as the number of variables of $R$ grows. This study of families of modules over compatible varying rings hints at the existence of FI structures.

commutative algebraalgebraic geometry

Audience: researchers in the topic

CAZoom

Series comments: Description: Virtually bringing together commutative algebra and related

We are holding a virtual online conference bringing together people in commutative algebra and related fields. The conference is being held via the video conferencing service Zoom on April 25 - 26, 2020. This conference is organized by Juliette Bruce and Sean Sather-Wagstaff.

For security reasons, the meeting will only be accessible to those with a Zoom account who have registered. Anyone interested in attending the conference must register using the link below.