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Endomorphisms, isogeny graphs, and moduli

Speaker  David Kohel

Affiliation  Institut de Mathématiques de Luminy

Host  Kristin Lauter

Duration  01:07:03

Date recorded  19 October 2010

I will present a retrospective of aspects of my thesis, in light of applications in the last 14 years since its birth. In particular, I will focus on explicit isogenies, moduli of elliptic curves and CM structure, the "local" Galois module structures of l-torsion and l-isogeny graphs, and "global" structure of action visa class groups and isogenies. The focus will be directed principally towards ordinary elliptic curves over finite fields, but I will discuss briefly the supersingular case and generalizations to higher dimension.

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> Endomorphisms, isogeny graphs, and moduli