Department of Mathematics
Ben Gurion University
Prof. Amnon Yekutieli
Department of Mathematics
Ben Gurion University
Prof. Amnon Yekutieli
(links to slides at bottom)
Title:
Adic Completion, Derived Completion, Prisms, and Weak Proregularity
Speaker:
Amnon Yekutieli, Ben Gurion University
Abstract:
The lecture will start with a few useful (and probably new!) theorems on adic completion of commutative rings and modules. Then I will discuss derived adic completion, in its two flavors: the idealistic and the sequential. The weak proregularity (WPR) condition on an ideal \a in a ring A, which is a subtle generalization of the noetherian condition on the ring A, is a necessary and sufficient condition for the two flavors of derived completion to agree. WPR occurs often in the context of perfectoid theory, and I will finish the talk with theorems relating WPR to prisms.
Typed notes are available at this web page:
https://sites.google.com/view/amyekut-math/home/lectures/lect-wpr-complete
(abstract updated 25 June 2024)
Links to slides:
Lecture BGU, 5 June 2024. slides (pdf) , compact slides (pdf for printing), recording on Zoom (starts at 09:25 min)
Lecture HU, 1 July 2024. slides (pdf) , compact slides (pdf for printing), recording on Zoom (starts at 09:52 min) NEW !
(page updated 22 July 2024)