Maximality of Galois actions for abelian varieties

Chunyin Hui (许俊彦)
2017-11-09 15:00-16:00
N913

报告人:许俊彦(ChunYin Hui)(清华大学)

题 目:Maximality of Galois actions for abelian varieties

时 间:2017.11.09(星期四),15 :00-16:00

地 点:数学院南楼N913

摘 要:Let A be a non-CM elliptic curve over a number field K. A well-known result of Serre states that the Galois action on the l-adic Tate module of A is maximal compact (i.e., equals to GL_2(Z_l)) when l is sufficiently large. In this talk, I will describe a recent joint work with Michael Larsen, generalizing Serre's result to all abelian varieties.