Title: A generalization to Elkies's theorem

报告人：李琬璘  Centre de Recherches Mathématiques, Montreal, Canada

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

报告人简介：李琬璘，博士，2019年毕业于美国威斯康星大学麦迪逊分校，师从Jordan Ellenberg.毕业后在MIT从事博士后研究，合作导师为Bjorn Poonen及Andrew V. Sutherland. 目前工作于加拿大蒙特利尔数学研究中心，合作导师包括Chantal David, Andrew Granville, Matilde Lalin.

时间：2021年11月12日（周五） 10:00-11:00

地点：Zoom, Meeting ID: 850 7009 1356  Passcode: 876980

邀请人：孟宪昌