BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yilin Wu (Université Paris Diderot - Paris 7\, France) DTSTART:20210624T110000Z DTEND:20210624T120000Z DTSTAMP:20260423T005749Z UID:LAGOON/46 DESCRIPTION:Title: Derived equivalences from mutations of ice quivers with potential\nby Yilin Wu (Université Paris Diderot - Paris 7\, France) as part of Longitu dinal Algebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nIn 2009\, Keller and Yang categorified quiver mutation by interpreting it in terms of equivalences between derived categories. Their approach was base d on Ginzburg’s Calabi--Yau algebras and on Derksen--Weyman--Zelevinsky ’s mutation of quivers with potential. Recently\, Matthew Pressland has generalized mutation of quivers with potential to that of ice quivers with potential. We will explain how his rule yields derived equivalences betwe en the associated relative Ginzburg algebras\, which are special cases of Yeung’s deformed relative Calabi–Yau completions arising in the theory of relative Calabi--Yau structures due to Toën and Brav--Dyckerhoff. We will illustrate our results on examples arising in the work of Baur--King- -Marsh on dimer models and cluster categories of Grassmannians. If time pe rmits\, we will also sketch a categorification of mutation at frozen verti ces as it appears in recent work of Fraser--Sherman-Bennett on positroid c luster structures.\n\nMeeting Link\nThursday\, 12:00 - 13:00 (BST\, UK Ti me)\nhttps://us02web.zoom.us/j/87160036709?pwd=aGtBdkx4VDFuY0l2UlkzRFdiYUF 3dz09 \nMeeting ID: 871 6003 6709\nPasscode: LAGOON\n LOCATION:https://researchseminars.org/talk/LAGOON/46/ END:VEVENT END:VCALENDAR