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Séminaire de Théorie Algorithmique des Nombres

An overview of isogeny algorithms

Damien Robert

( imb )

Salle 2

01 octobre 2019 à 10:00

Let AA be an abelian variety and KK a finite subgroup. We will discuss several approaches to compute the isogeny AA/KA \mapsto A/K, starting from Vélu's algorithm for elliptic curves, and then the isogeny theorem for theta functions, Couveignes and Ezome's work on Jacobians of curves, and recent progress with David Lubicz.