BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fernando Muro and Gustavo Jasso (Sevilla and Lund) DTSTART:20221128T130000Z DTEND:20221128T140000Z DTSTAMP:20260407T124828Z UID:paris-algebra-seminar/113 DESCRIPTION:Title: The triangulated Auslander-Iyama correspondence\, II\n by Fernando Muro and Gustavo Jasso (Sevilla and Lund) as part of Paris alg ebra seminar\n\n\nAbstract\nIn these two talks\, we will start by introduc ing a result which establishes the existence and uniqueness of (DG) enhanc ements for triangulated categories which admit an additive generator whose endomorphism algebra is finite-dimensional (over a perfect field). We wil l then present a generalisation of this result that allows us to treat a l arger class of triangulated categories\, which instead admit a generator w ith a strong regularity property (a so-called dZ-cluster tilting object). We will also explain how our result\, combined with crucial theorems of Au gust and Hua-Keller\, leads to a positive solution of the Donovan-Wemyss C onjecture for contraction algebras as observed by Keller. We will also com ment on some details about the proof.\n LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/113/ END:VEVENT END:VCALENDAR