A generalization of Elkies' theorem

Abstract: Elkies proved that for a fixed elliptic curve E defined over Q, there exist infinitely many primes at which the reductions of E are supersingular. In this talk, we give the first generalization of Elkies' theorem to curves of genus >2. We consider families of cyclic covers of the projective line ramified at 4 points parametrized by a Shimura curve. This is joint work in progress with Elena Mantovan, Rachel Pries, and Yunqing Tang.

Mathematics

Audience: researchers in the topic

Comments: Zoom link: ubc.zoom.us/j/67936242498?pwd=ZDZOdzZTcDBpZ3d4c1YvSUc5M1Z0QT09

UBC (online) Number Theory Seminar