BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eunjeong Lee (Institute for Basic Science\, Center for Geometry an d Physics) DTSTART:20220118T100000Z DTEND:20220118T110000Z DTSTAMP:20260423T052836Z UID:ZAG/178 DESCRIPTION:Title: On smooth toric Richardson varieties\nby Eunjeong Lee (Institute for Bas ic Science\, Center for Geometry and Physics) as part of ZAG (Zoom Algebra ic Geometry) seminar\n\n\nAbstract\nSchubert varieties and Richardson vari eties are some of the most interesting subvarieties of the full flag varie ties. A maximal torus acts on the full flag variety and these subvarieties are stable under the action. Considering the restriction of the moment ma p on Richardson varieties\, we obtain Bruhat interval polytopes. The combi natorics of Bruhat interval polytopes play an important role in studying t oric Richardson varieties. In this talk\, we consider an interesting famil y of smooth toric Richardson varieties each element of which is associated with a cubic Bruhat interval polytope\, called a toric variety \\textit{o f Catalan type}. We study the relationship between the isomorphism classes of toric varieties of Catalan type and polygon triangulations. Moreover\, we consider the isomorphism classes of toric Schubert varieties which may not be of Catalan type. This talk is based on joint work with Mikiya Masu da and Seonjeong Park.\n LOCATION:https://researchseminars.org/talk/ZAG/178/ END:VEVENT END:VCALENDAR