Tight Closure, lim Cohen-Maculay sequences, content of local cohomology, and related open questions - Part 1

Abstract: The talks will give multiple characterizations of tight closure, discuss some of its applications, indicate connections with the existence of big and small Cohen-Macaulay algebras and modules, as well as variant notions, and also explain connections with the theory of content. There will be some discussion of the many open questions in the area, including the very long standing problem of proving that Serre intersection multiplicities have the behavior one expects.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

Series comments: Note: To get meeting ID,fill the Google form on the web-site of the series sites.google.com/view/virtual-comm-algebra-seminar/home