BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex Massarenti (U. Ferrara) DTSTART:20210421T183000Z DTEND:20210421T200000Z DTSTAMP:20260423T004640Z UID:BRAG/48 DESCRIPTION:Title: Co mplete symplectic quadrics and Kontsevich moduli spaces of conics in Lagra ngian Grassmannians\nby Alex Massarenti (U. Ferrara) as part of Brazil ian algebraic geometry seminar\n\n\nAbstract\nGiven a reductive algebraic group $G$ and a Borel subgroup $B$\, a spherical variety\nis a normal vari ety admitting an action of $G$ with an open dense $B$-orbit. A special\ncl ass of spherical varieties are the so-called wonderful varieties. These ar e smooth\nspherical varieties for which we require $G$ to be semisimple an d simply connected\nand the existence of an open $B$-orbit whose complemen tary set is a simple normal\ncrossing divisor. We will construct the wonde rful compactification of the space of\nsymmetric\, symplectic matrices on which the symplectic group acts. Furthermore\,\nwe will compute the Picard group of this compactification and we will study its\nbirational geometry in low-dimensional cases. As an application\, we will recover the\nresult s on the birational geometry of the Kontsevich spaces of conics in Grassma nnians\ndue to I. Coskun and D. Chen\, and we will prove new results on th e birational\ngeometry of the Kontsevich spaces of conics in Lagrangian Gr assmannians.\nThis is a joint work with Elsa Corniani.\n LOCATION:https://researchseminars.org/talk/BRAG/48/ END:VEVENT END:VCALENDAR