BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hipolito Treffinger (University of Leicester\, UK) DTSTART:20200514T120000Z DTEND:20200514T130000Z DTSTAMP:20260423T022921Z UID:LAGOON/1 DESCRIPTION:Title: R epresentation theoretic aspects of scattering diagrams\nby Hipolito Tr effinger (University of Leicester\, UK) as part of Longitudinal Algebra an d Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nThe notion of algeb raic scattering diagram associated to any finite dimensional algebra was r ecently introduced by Bridgeland as an algebraic construction of the celeb rated cluster scattering diagrams of Gross\, Hacking\, Keel and Kontsevich . In this talk\, after briefly recalling the construction of scattering di agrams given by Bridgeland\, we will show how the homological aspects of t he module category determine several properties of the support of the scat tering diagrams. In particular\, we will show that chambers in the scatter ing diagram of an algebra are in one-to-one correspondence with certain t orsion pairs in its module category. This is joint work with Thomas Brustl e and David Smith. Based on this characterisation\, we will discuss how th e study of torsion pairs in the module category of algebras can play a key role in the calculation of Donaldson-Thomas invariants for certain Calabi -Yau threefolds.\n LOCATION:https://researchseminars.org/talk/LAGOON/1/ END:VEVENT END:VCALENDAR