Computational Algebra Seminar: Duque-Rosero -- An algorithm for Computing Local Heights on Hyperelliptic Curves in Quadratic Chabauty

Speaker: Juanita Duque-Rosero (Boston)
Title: An algorithm for Computing Local Heights on Hyperelliptic Curves
       in Quadratic Chabauty
Time & Place: Thursday 15 May, 15:00-16:00, SMRI Seminar Rm
Abstract:
The method of quadratic Chabauty is a powerful tool for
determining the set of rational points on curves. A key component of
this method is the computation of local height functions. In this
talk, we present an algorithm for computing these local heights at odd
primes v not equal to p for hyperelliptic curves. Through
applications, we demonstrate how this work extends the reach of
quadratic Chabauty to curves previously considered inaccessible.
Finally, we provide details on the Magma implementation of this
algorithm.  This is joint work with Alexander Betts, Sachi Hashimoto,
and Pim Spelier.