# Number Theory Seminar

Speaker: Fabien Pazuki (KU)

Title: Isogeny volcanoes: an ordinary inverse problem

Abstract: We prove that any abstract ℓ-volcano graph can be realized as a connected component of the ℓ-isogeny graph of an ordinary elliptic curve defined over 𝔽p, where ℓ and p are two different primes. This is joint work with Henry Bambury and Francesco Campagna.