[Turkmath:5909] FGC-HRI-IPM Number Theory Seminars::Enis Kaya[KU Leuven][Dec 19, 2022 at 16:00]

[Özlem Ejder]

Dear all,

Enis Kaya (KU Leuven) is our speaker in the FGC-HRI-IPM Number Theory
Seminar this upcoming week.

*Title:* Computing Schneider p-adic heights on hyperelliptic Mumford curves

*Abstract: *There are several definitions of p-adic height pairings on
curves in the literature, and algorithms for computing them play a crucial
role in, for example, carrying out the quadratic Chabauty method, which is
a p-adic method that attempts to determine rational points on curves of
genus at least two.

The p-adic height pairing constructed by Peter Schneider in 1982 is
particularly important because the corresponding p-adic regulator fits
into p-adic versions of Birch and Swinnerton-Dyer conjecture. In this talk,
we present an algorithm to compute the Schneider p-adic height pairing on
hyperelliptic Mumford curves. We illustrate this algorithm with a numerical
example computed in the computer algebra system SageMath.

This talk is based on a joint work in progress with Marc Masdeu, J. Steffen
Müller and Marius van der Put.
*Zoom Meeting ID: *856 1386 0958
*Passcode: *513992

Sevgiler,
Özlem
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