Endomorphisms, isogeny graphs, and moduli

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.

Date:
Speakers:
David Kohel
Affiliation:
Institut de Mathématiques de Luminy
    • Portrait of Jeff Running

      Jeff Running