Hecke fields and L-invariant
代数学セミナー
開催期間
2010.11.29(月)
16:00 ~ 17:00
16:00 ~ 17:00
場所
伊都キャンパス 伊都図書館3階 小講義室 2
講演者
肥田 晴三 （UCLA）
概要
Take a p-adic analytic family of Hecke eigenforms f_P with
slope 0 (for an odd prime). Then we prove that Q(a(p,f_P)|P) is a
finite extension of the cyclotomic field of all p-power roots of unity
if and only if the family has complex multiplication. As a corollary
of this, the L-invariant of the adjoint square L is constant on the
family if and only if the family has complex multiplication.