Isogeny problems and refined Humbert invariants
Eda Kirimli
University of Birmingham
https://sites.google.com/view/edakirimli
Date(s) : 28/05/2026 iCal
11h00 - 12h00
In this talk, we examine principally polarized superspecial abelian surfaces over finite fields through their corresponding refined Humbert invariants. We show that computing this invariant is computationally equivalent to solving the isogeny problem for supersingular elliptic curves, providing a geometric characterization. As applications, we show isogeny-degree analysis of elliptic curves and the splitting behavior of isogeny graphs of principally polarized superspecial abelian surfaces.
Emplacement
Saint-Charles
Catégories
