BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ming Zhang (UBC) DTSTART:20201113T174500Z DTEND:20201113T184500Z DTSTAMP:20260423T010236Z UID:UBC-AG/13 DESCRIPTION:Title: Verlinde/Grassmannian Correspondence\nby Ming Zhang (UBC) as part of U BC Vancouver Algebraic Geometry Seminar\n\n\nAbstract\nIn the 90s'\, Witte n gave a physical derivation of an isomorphism between the Verlinde algebr a of $\\mathrm{GL}(n)$ of level l and the quantum cohomology ring of the G rassmannian $\\mathrm{Gr}(n\,n+l)$. In the joint work arXiv:1811.01377 wit h Yongbin Ruan\, we proposed a $K$-theoretic generalization of Witten's wo rk by relating the $\\mathrm{GL}_n$ Verlinde numbers to the level $l$ quan tum $K$-invariants of the Grassmannian $\\mathrm{Gr}(n\,n+l)$\, and refer to it as the Verlinde/Grassmannian correspondence. The correspondence was formulated precisely in the aforementioned paper\, and we proved the rank 2 case ($n$=2) there.\n\nIn this talk\, I will first explain the backgroun d of this correspondence and its interpretation in physics. Then I will di scuss the main idea of the proof for arbitrary rank. A new technical ingre dient is the virtual nonabelian localization formula developed by Daniel H alpern-Leistner.\n LOCATION:https://researchseminars.org/talk/UBC-AG/13/ END:VEVENT END:VCALENDAR