BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yusuke Nakajima (Kyoto) DTSTART:20210624T090000Z DTEND:20210624T100000Z DTSTAMP:20260423T041351Z UID:notts_ag/61 DESCRIPTION:Title: Combinatorial mutations and deformations of dimer models\nby Yusuke Nakajima (Kyoto) as part of Online Nottingham algebraic geometry seminar\n \n\nAbstract\nThe combinatorial mutation of a polytope was introduced in t he context of the mirror symmetry of Fano manifolds for achieving the clas sification problem. This operation makes a given polytope another one whil e keeping some properties. In my talk\, I will consider the combinatorial mutation of a polygon associated to a dimer model. A dimer model is a bipa rtite graph on the real two-torus\, and the combinatorics of a dimer model gives rise to a certain lattice polygon. Also\, a dimer model enjoys rich information regarding toric geometry associated to that polygon. It is kn own that for any lattice polygon P there is a dimer model whose associated polygon coincides with P. Thus\, there also exists a dimer model giving t he lattice polygon obtained as the combinatorial mutation of P. I will obs erve the relationship between a dimer model giving a lattice polygon P and the one giving the combinatorial mutation of P. In particular\, I introdu ce the operation which I call the deformation of a dimer model\, and show that this operation induces the combinatorial mutation of a polygon associ ated to a dimer model. This talk is based on a joint work with A. Higashit ani.\n LOCATION:https://researchseminars.org/talk/notts_ag/61/ END:VEVENT END:VCALENDAR