BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ben Davison (The University of Edinburgh) DTSTART:20231205T050000Z DTEND:20231205T063000Z DTSTAMP:20260423T022142Z UID:gapkias/8 DESCRIPTION:Title: Strong positivity for quantum cluster algebras\nby Ben Davison (The Un iversity of Edinburgh) as part of Geometry\, Algebra and Physics at KIAS\n \nLecture held in Room 1424\, Korea Institute for Advanced Study.\n\nAbstr act\nQuantum cluster algebras are quantizations of cluster algebras\, whic h are a class of algebras interpolating between integrable systems and com binatorics. These algebras were originally introduced to study positivity phenomena arising in the study of quantum groups\, and so one of the key q uestions regarding them (and their quantum analogues) is whether they admi t a basis for which the structure constants are positive. The classical ve rsion of this question was settled in the affirmative by Gross\, Hacking\, Keel and Kontsevich. I will present a proof of the quantum version of thi s positivity for skew-symmetric quantum cluster algebras\, due to joint wo rk with Travis Mandel\, based on results in categorified Donaldson-Thomas theory and scattering diagrams.\n LOCATION:https://researchseminars.org/talk/gapkias/8/ END:VEVENT END:VCALENDAR