BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Enis Kaya DTSTART:20221219T130000Z DTEND:20221219T140000Z DTSTAMP:20260422T103311Z UID:FGC-IPM/26 DESCRIPTION:Title: Computing Schneider p-adic heights on hyperelliptic Mumford curves\nb y Enis Kaya as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstract\nT here are several definitions of p-adic height pairings on curves in the li terature\, and algorithms for computing them play a crucial role in\, for example\, carrying out the quadratic Chabauty method\, which is a p-adic m ethod that attempts to determine rational points on curves of genus at lea st two.\n\n \n\nThe $p$-adic height pairing constructed by Peter Schneider in $1982$ is particularly important because the corresponding $p$-adic re gulator fits into $p$-adic versions of Birch and Swinnerton-Dyer conjectur e. In this talk\, we present an algorithm to compute the Schneider $p$-adi c height pairing on hyperelliptic Mumford curves. We illustrate this algor ithm with a numerical example computed in the computer algebra system Sage Math.\n\n \n\nThis talk is based on a joint work in progress with Marc Mas deu\, J. Steffen Müller and Marius van der Put.\n\nZoom Meeting ID: 856 1 386 0958\nPasscode: 513992\n LOCATION:https://researchseminars.org/talk/FGC-IPM/26/ END:VEVENT END:VCALENDAR