BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hipolito Treffinger (Université de Paris) DTSTART:20220118T150000Z DTEND:20220118T160000Z DTSTAMP:20260423T024530Z UID:TRAC/30 DESCRIPTION:Title: St ratifying systems\, τ-tilting theory and g-vectors\nby Hipolito Treff inger (Université de Paris) as part of The TRAC Seminar - Théorie de Rep résentations et ses Applications et Connections\n\n\nAbstract\nIn this ta lk we will talk about the relationship between the stratifying systems def ined by Erdmann and Sáenz and the τ-tilting theory introduced by Adachi Iyama and Reiten. In the first part of the talk we will start the talk exp laining how the properties of the mutation process on tau-tilting pairs en ables us to build at least one stratifying from every τ-rigid module. \n\ n\n\nIn the second part of the talk we will change gears slightly and spea k about Cartan matrices as an invariant for stratifying systems\, as it wa s recently proposed by Marcos\, Mendoza and Sáenz. In particular we will speak how the Cartan matrix for a stratifying systems induced by a τ-rigi d module can be computed using the g-vectors of the said τ-rigid module. \n\n\n\nThis is a report on joint work with Octavio Mendoza and Corina Sá enz. \n\nhttps://arxiv.org/abs/1904.11903\n\nhttps://arxiv.org/abs/2111.11 376\n LOCATION:https://researchseminars.org/talk/TRAC/30/ END:VEVENT END:VCALENDAR