BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anne Dranowski (UToronto) DTSTART:20210222T190000Z DTEND:20210222T200000Z DTSTAMP:20260423T004641Z UID:UMassRep/17 DESCRIPTION:Title: A Mirkovic-Vybornov isomorphism for the Beilinson-Drinfeld Grassmannian\ , in action\nby Anne Dranowski (UToronto) as part of UMass Amherst Rep resentation theory seminar\n\n\nAbstract\nIn their recent paper on the MV basis and DH measures\, Baumann\, Kamnitzer and Knutson showed that the MV cycles (named after Mirkovic and Vilonen who used them to put the geometr ic Satake correspondence on rigorous footing) yield a perfect basis in the coordinate ring of the unipotent subgroup\, C[N]. In particular\, they sh owed that the product of two MV basis vectors in C[N] is given by intersec tion multiplicities appearing in the intersection of the BD degeneration o f the product of the corresponding MV cycles with the central fibre. In th is talk we describe how the Mirkovic-Vybornov isomorphism can be generaliz ed to give a concrete way to compute such products when G=GL_m. Time permi tting we discuss connections to cluster algebras.\n LOCATION:https://researchseminars.org/talk/UMassRep/17/ END:VEVENT END:VCALENDAR