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SUMMARY:Daniel Labardini-Fragoso (UNAM Mexico City\, Mexico)
DTSTART:20220317T120000Z
DTEND:20220317T130000Z
DTSTAMP:20260423T022922Z
UID:LAGOON/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/65/">
 Gentle algebras arising from surfaces with orbifold points</a>\nby Daniel 
 Labardini-Fragoso (UNAM Mexico City\, Mexico) as part of Longitudinal Alge
 bra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nSome years ag
 o\, Diego Velasco and I associated a gentle algebra to each triangulation 
 of a polygon with one orbifold point of order three\, and showed that the 
 \\tau-tilting combinatorics of this gentle algebra coincides with the comb
 inatorics of flips of triangulations. Moreover\, we showed that whenever o
 ne mutates support \\tau-tilting pairs\, the corresponding Caldero-Chapoto
 n functions obey a generalized cluster exchange formula\, which means that
  the Caldero-Chapoton algebra is isomorphic to a generalized cluster algeb
 ra of Chekhov-Shapiro. Generalizing the aforementioned work\, in ongoing c
 ollaboration Lang Mou and I associate a gentle algebra to each triangulati
 on of any unpunctured surface with orbifold points of order three. We are 
 able to define generalized reflection functors and DWZ-like mutations of r
 epresentations. This is somewhat surprising\, since the quivers we conside
 r are allowed to have loops\, and the matrix-mutation classes of their ske
 w-symmetrizable matrices may fail to have acyclic representatives.\n\nMeet
 ing Link\nhttps://icms-org-uk.zoom.us/j/82901356928?pwd=NmNReXc5U1M0MUFScE
 VLMEtyaU56dz09 \nMeeting ID: 829 0135 6928\nPasscode: LAGOON22\n
LOCATION:https://researchseminars.org/talk/LAGOON/65/
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