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Find all the videos from the Forum of Mathematics Video Series.
In this exclusive video, Jef Laga (Department of Pure Mathematics and Mathematical Statistics, University of Cambridge) who co-authored the paper ‘Rational torsion points on abelian surfaces with quaternionic multiplication’, presents the research theory influencing the article. This peer reviewed academic research paper is published by Cambridge University Press, in the journal Forum of Mathematics, Sigma / Volume 12 / 2024, is written by authors Jef Laga, Ciaran Schembri, Ari Shnidman and John Voight.
PAPER ABSTRACT
‘Let A be an abelian surface over Q whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of A(Q) is 12-torsion and has order at most 18’.
Whether you’re a mathematician, student, librarian, or interested in arithmetic problems, join Jef Laga, for more insight from the research paper presented here.
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