学术报告

Mass formula for supersingular abelian threefolds

发布人:发布时间: 2019-11-25

字体大小: 【小】 【中】 【大】

题目: Mass formula for supersingular abelian threefolds

报告人: 余家富 教授 (中央研究院数学研究所)

时间: 2019年12月5日10:00-12:00

地点: 西大楼308教室

摘要: The mass formula for principally polarized superspecial abelian varieties was studied and computed by Ekedahl, Ibukiyama, Katsura and Oort around 1986. In 2009, Jeng-Daw Yu and myself defined the mass for the set of principally polarized supersingular abelian varieties with a fixed isomorphism class of polarized p-divisible groups, and gave an explicit mass formula for the case g=2. In this talk we will report  mass formulas for the case where g=3. As an application we extend recent work of Ibukuyama for g=2 and prove Oort's conjecture for the automorphism  group of generic supersingular abelian 3-fold.

This is joint work with Valentijn Karemaker and Fuetaro Yobuko.

 with Masao Oi.

邀请人:陈柯 老师