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SUMMARY:Özgür Esentepe (University of Connecticut)
DTSTART:20200925T153000Z
DTEND:20200925T160000Z
DTSTAMP:20260423T024451Z
UID:SheRepTh/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SheRepTh/17/
 ">ROOM 4: Orders over CM local rings with positive CM dominant dimension</
 a>\nby Özgür Esentepe (University of Connecticut) as part of Sherbrooke 
 Meeting on Representation Theory of Algebras\, Corona Edition (fully onlin
 e)\n\n\nAbstract\nI will try to show you that some orders over Cohen-Macau
 lay local rings have derived dimension bounded above by twice the Krull di
 mension of the base ring. The main ingredients are a condition on the domi
 nant dimension inside the category of centrally Cohen-Macaulay modules and
  a condition on the Nakayama functor again on the same category. The first
  condition gives rise to a canonical tilting module whose endomorphism alg
 ebra is nicer if the order we start with has large global dimension. The s
 econd condition guarantees that we can iterate this process.The ideas from
  this work are similar to the works of Hongxing Chen-Changchang Xi and Mat
 thew Pressland-Julia Sauter. However\, they reveal new results when the ba
 se ring is of positive Krull dimension.This work is still ongoing.\n
LOCATION:https://researchseminars.org/talk/SheRepTh/17/
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