地点: 数学高等研究院报告厅

时间: 12月17日，16:00 - 17:00

主讲人: 陈梵谷  Fangu Chen (加利福尼亚大学伯克利分校)

摘要: In 1987, Elkies proved that every elliptic curve defined over Q has infinitely many supersingular primes. In this talk, I will present an extension of this result to certain abelian fourfolds in Mumford's families and more generally, to certain families of Kuga–Satake abelian varieties constructed from K3-type Hodge structures with real multiplication. I will review Elkies' proof and explain how his strategy of intersecting with CM cycles can be adapted to our setting. I will also discuss some of the techniques in our proof to study the local properties of the CM cycles.