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SUMMARY:Gustavo Jasso and Fernando Muro (Lund and Sevilla)
DTSTART:20221121T130000Z
DTEND:20221121T140000Z
DTSTAMP:20260407T124640Z
UID:paris-algebra-seminar/112
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paris-algebr
 a-seminar/112/">The triangulated Auslander-Iyama correspondence\, I</a>\nb
 y Gustavo Jasso and Fernando Muro (Lund and Sevilla) as part of Paris alge
 bra seminar\n\n\nAbstract\nIn these two talks\, we will start by introduci
 ng a result which establishes the existence and uniqueness of (DG) enhance
 ments for triangulated categories which admit an additive generator whose 
 endomorphism algebra is finite-dimensional (over a perfect field). We will
  then present a generalisation of this result that allows us to treat a la
 rger class of triangulated categories\, which instead admit a generator wi
 th a strong regularity property (a so-called dZ-cluster tilting object). W
 e will also explain how our result\, combined with crucial theorems of Aug
 ust and Hua-Keller\, leads to a positive solution of the Donovan-Wemyss Co
 njecture for contraction algebras as observed by Keller. We will also comm
 ent on some details about the proof.\n
LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/112/
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