Description:
Curves of genus 2 have an associated abelian surface, their jacobian. One can classify genus 2 curves according to special properties of their jacobians. For instance, a jacobian can be split: isogenous to a product of elliptic curves. There are several ways in which jacobians can be split. In this talk we will give a precise description of one of them.
Having such a precise description helps in understanding various number-theoretic and cryptographic constructions. This is joint work with my student Kevin Doerksen.
Speaker(s):
Nils Bruin, professor, Mathematics, Simon Fraser University (BC, Canada)
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