Target audience : Students and researchers in the field

Language : English

Abstract : Supersingular elliptic curves and supersingular Abelian varieties are important mathematical background of modern cryptography.

Title : "Introduction to Isogeny-based Cryptography"

Abstract : Isogeny-based cryptography is a fast-moving field, and recent developments have introduced several new techniques, making the barrier of entry particularly high for young researchers wishing to work in the field. To aid new researchers in the field is the aim of this "summer" school, which introduces all of the many essential tools that are used today. Among the topics to be covered are the correspondences between ideals and isogenies that give rise to both the Deuring correspondence, which is an essential part of protocols such as SQIsign, and the class group action on CM curves and oriented supersingular curves, which gives other cryptographic primitives such as CSIDH and SCALLOP. Further, higher dimensional abelian varieties and isogenies between these have recently become an integral part of isogeny-based cryptography, providing huge improvements to many existing protocols, as well as creating new protocols.

TSVP Talk Language: English (no interpretation). Target audience: General audience / everyone at OIST and beyond. Freely accessible to all OIST members and guests without registration (also via Zoom).