BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nolan Schock (University of Georgia) DTSTART:20210322T200000Z DTEND:20210322T210000Z DTSTAMP:20260423T021411Z UID:AGSAGS/24 DESCRIPTION:Title: Intersection theory on moduli of hyperplane arrangements and marked del Pe zzo surfaces\nby Nolan Schock (University of Georgia) as part of Ameri can Graduate Student Algebraic Geometry Seminar\n\n\nAbstract\nThis talk i s about the intersection theory of two of the first examples of compact mo duli spaces of higher-dimensional varieties: the log canonical compactific ation of the moduli space of marked del Pezzo surfaces\, and the stable pa ir compactification of the moduli space of hyperplane arrangements. The la tter space is the natural higher-dimensional version of $\\overline{M}_{0\ ,n}$\, the moduli space of n-pointed rational curves\, but its geometry ca n in general be arbitrarily complicated. On the other hand\, the former sp ace\, which can also be viewed as a higher-dimensional generalization of $ \\overline{M}_{0\,n}$\, by construction has nice geometry on the boundary\ , and this leads (conjecturally for degree 1\,2) to a presentation of its Chow ring entirely analogous to Keel's famous presentation of the Chow rin g of $\\overline{M}_{0\,n}$. I will describe work in progress using the re lationships between these moduli spaces in order to describe the intersect ion theory of the moduli space of stable hyperplane arrangements.\n LOCATION:https://researchseminars.org/talk/AGSAGS/24/ END:VEVENT END:VCALENDAR