BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Enis Kaya (University of Groningen) DTSTART:20201105T173000Z DTEND:20201105T183000Z DTSTAMP:20260422T053923Z UID:SFUQNTAG/13 DESCRIPTION:Title: Explicit Vologodsky Integration for Hyperelliptic Curves\nby Enis Ka ya (University of Groningen) as part of SFU NT-AG seminar\n\n\nAbstract\nL et $X$ be a curve over a $p$-adic field with semi-stable reduction and let $\\omega$ be a \nmeromorphic $1$-form on $X$. There are two notions of p- adic integration one may associate \nto this data: the Berkovich–Coleman integral which can be performed locally\; and the \nVologodsky integral w ith desirable number-theoretic properties. In this talk\, we present a \nt heorem comparing the two\, and describe an algorithm for computing Vologod sky integrals \nin the case that $X$ is a hyperelliptic curve. We also ill ustrate our algorithm with a numerical \nexample computed in Sage. This ta lk is partly based on joint work with Eric Katz.\n LOCATION:https://researchseminars.org/talk/SFUQNTAG/13/ END:VEVENT END:VCALENDAR