BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Enis Kaya (University of Groningen) DTSTART:20210322T121500Z DTEND:20210322T131500Z DTSTAMP:20260423T023053Z UID:WarsawNT/25 DESCRIPTION:Title: Explicit Vologodsky Integration for Hyperelliptic Curves\nby Enis Ka ya (University of Groningen) as part of Warsaw Number Theory Seminar\n\nLe cture held in currently online.\n\nAbstract\nLet $X$ be a curve over a $p$ -adic field with semi-stable reduction and let $\\omega$ be a meromorphic $1$-form on $X$. There are two notions of $p$-adic integration one may ass ociate to this data: the Berkovich–Coleman integral which can be perform ed locally\; and the Vologodsky integral with desirable number-theoretic p roperties. In this talk\, we present a theorem comparing the two\, and des cribe algorithms for computing these integrals in the case that $X$ is a h yperelliptic curve. We also illustrate our algorithm with a numerical exam ple computed in Sage. This talk is partly based on joint work with Eric Ka tz.\n LOCATION:https://researchseminars.org/talk/WarsawNT/25/ END:VEVENT END:VCALENDAR