BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Steven Groen (University of Warwick) DTSTART:20230117T210000Z DTEND:20230117T220000Z DTSTAMP:20260423T010529Z UID:UAANTS/60 DESCRIPTION:Title: p-Torsion of Abelian varieties in characteristic p\nby Steven Groen (U niversity of Warwick) as part of University of Arizona Algebra and Number Theory Seminar\n\n\nAbstract\nLet A be an Abelian variety of dimension g o ver an algebraically closed field k. We are interested in the group scheme A[p]\, consisting of the elements of A whose order divides p. If the char acteristic of k is not p\, then there is only one possibility for A[p]: as a group it consists of 2g copies of Z/pZ. On the other hand\, if k has ch aracteristic p\, then there are several distinct possibilities for A[p]\, called Ekedahl-Oort strata. In particular\, the group will consist of at m ost g copies of Z/pZ. An example of an Ekedahl-Oort stratification is the distinction between ordinary and supersingular elliptic curves. If the dim ension g is higher\, it is natural to ask which Ekedahl-Oort strata arise from the Jacobian of a curve. In this talk\, we treat both previously know n results and new results in this area. In many cases\, we add the restric tion that the curves in question are Artin-Schreier covers.\n LOCATION:https://researchseminars.org/talk/UAANTS/60/ END:VEVENT END:VCALENDAR