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SUMMARY:Enis Kaya (University of Groningen)
DTSTART:20201014T150000Z
DTEND:20201014T163000Z
DTSTAMP:20260422T172305Z
UID:UCGEN/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/10/">E
 xplicit Vologodsky Integration for Hyperelliptic Curves</a>\nby Enis Kaya 
 (University of Groningen) as part of UCGEN - Uluslararası Cebirsel GEomet
 ri Neşesi\n\n\nAbstract\nLet X be a curve over a p-adic field with semi-s
 table reduction and let ω be a meromorphic 1-form on X. There are two not
 ions of p-adic integration one may associate to this data: the Berkovich
 –Coleman integral which can be performed locally\; and the Vologodsky in
 tegral with desirable number-theoretic properties. In this talk\, we prese
 nt a theorem comparing the two\, and describe an algorithm for computing V
 ologodsky integrals in the case that X is a hyperelliptic curve. We also i
 llustrate our algorithm with a numerical example computed in Sage. This ta
 lk is partly based on joint work with Eric Katz.\n
LOCATION:https://researchseminars.org/talk/UCGEN/10/
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