The weak implies strong conjecture and finite generation of symbolic Rees algebras
Thomas Polstra (University of Utah)
Abstract: Tight closure theory is prominent to prime characteristic commutative algebra. Historically, tight closure has been used to simplify proofs of landmark theorems in commutative algebra, provide tests to determine when an element of a ring belongs to a particular ideal, and provides proofs of results in prime characteristic which otherwise can only be proved in equal characteristic 0. The first half of the talk will be devoted to basic definitions, properties, and consequences of tight closure. The second half of the talk we will go over several important classes of rings defined via tight closure, recent progress on the weak implies strong conjecture appearing in a joint paper with Ian Aberbach, and a conjecture that certain symbolic Rees algebras are Noetherian.
commutative algebra
Audience: researchers in the topic
Series comments: Description: National Commutative Algebra Seminar
You have to register to attend the seminar; the registration link is on the webpage. But you only have to register once. Once you register for a seminar, your registration will be carried over (in theory!) to future seminars.
Organizers: | Srikanth B. Iyengar*, Karl E. Schwede |
*contact for this listing |