Supersingular elliptic curves, quaternion algebras and some applications to cryptography
Speaker:
Eyal Goren, McGill University
Date and Time:
Tuesday, June 11, 2024 - 3:25pm to 3:50pm
Location:
Fields Institute, Room 230
Abstract:
Joint work with Jonathan Love (CICMA). Supersingular isogeny graphs can be used to construct cryptographic hash functions. Motivated by that, I shall discussed two recent theorems. One concerns the generation of maximal orders of quaternion algebras by elements of particular norm; the other is that maximal orders of elliptic curves are determined by their theta functions.
