Parametrising abelian surfaces with RM by $\mathbb{Z}[\sqrt{2}]$ using Richelot isogenies

Abstract: In this talk, we describe a parametrisation of abelian surfaces with real multiplication by $\mathbb{Z}[\sqrt{2}]$ using Richelot isogenies, and give some arithmetic applications.

Mathematics

Audience: researchers in the topic

ANTLR seminar

Series comments: This is the Algebra, Number Theory, Logic and Representation theory seminar.