BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ben Davison (The Univ. of Edinburgh) DTSTART:20251205T020000Z DTEND:20251205T033000Z DTSTAMP:20260423T005852Z UID:gapkias/14 DESCRIPTION:Title: Tutte polynomials of graphs and symplectic duality\nby Ben Davison (T he Univ. of Edinburgh) as part of Geometry\, Algebra and Physics at KIAS\n \nLecture held in Room 8101\, KIAS.\n\nAbstract\nThe Tutte polynomial of a graph is a two-variable polynomial\, which is the universal polynomial sa tisfying the deletion contraction recursion. In this talk I will explain h ow this polynomial arises as a special case of a bicharacteristic polynomi al defined for pairs of symplectic dual conical resolutions of singulariti es. More precisely\, the Tutte polynomial records the dimensions of the gr aded pieces of the cohomology of hypertoric varieties (which I’ll introd uce) along with the two filtrations by cohomological degree\, coming from symplectic duality and Maulik-Okounkov stable envelopes (which I will also introduce). As well as recovering Tutte polynomials\, there are other bic haracteristic polynomials of symplectic resolutions to explore\, which I w ill describe if there is time. These results produce new inequalities of c oefficients of Tutte polynomials of matroids. This talk is based on joint work with Michael McBreen.\n LOCATION:https://researchseminars.org/talk/gapkias/14/ END:VEVENT END:VCALENDAR