BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Pauksztello (Lancaster) DTSTART:20240527T120000Z DTEND:20240527T130000Z DTSTAMP:20260710T044508Z UID:paris-algebra-seminar/165 DESCRIPTION:Title: Convex geometry for (co)fans of abelian categories\nby David Pauksztello (Lancaster) as part of Paris algebra seminar\n\n\nAbstr act\nArising in cluster theory\, the g-vector fan is a convex geometric in variant encoding the mutation behaviour of clusters. In representation the ory\, the g-vector fan encodes the mutation theory of support tau-tilting objects or\, equivalently\, two-term silting objects. In this talk\, we wi ll describe a generalisation of the g-vector fan which in some sense “co mpletes” the g-vector fan: the heart fan of an abelian category. This co nvex geometric invariant encodes many important homological properties: e. g. one can detect from the convex geometry whether an abelian category is length\, whether it has finitely many torsion pairs\, and whether a given Happel-Reiten-Smaloe tilt is length. This talk will be a report on joint w ork with Nathan Broomhead\, David Ploog and Jon Woolf.\n\nThis talk will t ake place in hybrid mode at the Institut Henri Poincaré.\n LOCATION:https://researchseminars.org/talk/paris-algebra-seminar/165/ END:VEVENT END:VCALENDAR