题目：Arithmetic invariants of supersupersingular abelian varieties and Oort's conjecture

报告人：余家富（Chia-Fu Yu）（Academic Sinica）

时间：2026年1月4日（周日）10:00-11: 00

地点：数学新楼308

摘要：Let A_g be the moduli space over F_p of g-dimensional principally polarized abelian varieties and S_g be the supersingular locus of A_g. Oort’s conjecture asserts that when g ≥ 2, every geometric generic member in S_g has automorphism group {±1}. In this talk we shall discuss the progress of this problem, and sketch the proof of our result using supersingular EO strata, which confirm Oort’s conjecture when g is even and p is greater than 3, and g=4 and any p. This talk is based on joint work with Valentijn Karemaker and with Fuetaro Yobuko.