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SUMMARY:Thomas Polstra (University of Utah)
DTSTART:20200723T203000Z
DTEND:20200723T220000Z
DTSTAMP:20260423T021434Z
UID:FOTR/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/11/">Th
 e weak implies strong conjecture and finite generation of symbolic Rees al
 gebras</a>\nby Thomas Polstra (University of Utah) as part of Fellowship o
 f the Ring\n\n\nAbstract\nTight closure theory is prominent to prime chara
 cteristic commutative algebra. Historically\, tight closure has been used 
 to simplify proofs of landmark theorems in commutative algebra\, provide t
 ests to determine when an element of a ring belongs to a particular ideal\
 , and provides proofs of results in prime characteristic which otherwise c
 an only be proved in equal characteristic 0. The first half of the talk wi
 ll be devoted to basic definitions\, properties\, and consequences of tigh
 t closure. The second half of the talk we will go over several important c
 lasses of rings defined via tight closure\, recent progress on the weak im
 plies strong conjecture appearing in a joint paper with Ian Aberbach\, and
  a conjecture that certain symbolic Rees algebras are Noetherian.\n
LOCATION:https://researchseminars.org/talk/FOTR/11/
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