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Seminar

Fellowship of the Ring, National Seminar: On the weak implies strong conjecture and finite generation of symbolic Rees algebras July 23, 2020 (01:30 PM PDT - 03:30 PM PDT)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Thomas Polstra (University of Utah)
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On The Weak Implies Strong Conjecture And Finite Generation Of Symbolic Rees Algebras

Abstract/Media

To attend this seminar, you must register in advance, by clicking HERE.

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.

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On The Weak Implies Strong Conjecture And Finite Generation Of Symbolic Rees Algebras

H.264 Video 25089_28484_8379_On_the_Weak_Implies_Strong_Conjecture_and_Finite_Generation_of_Symbolic_Rees_Algebras.mp4