On Katz Type p-adic L-functions
发布时间:2025年10月20日
浏览次数:6
发布者: He Liu
主讲人: Fabrizio Andreatta (Universita Statale di Milano)
活动时间: 从 2025-10-20 14:00 到 15:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)77201室
Given a quadratic imaginary field K and an odd prime p, I will explain how to attach a p-adic L-function which interpolates the algebraic parts of the special values of the complex L-functions of K twisted by algebraic Hecke characters such that the p-part of their conductor is p^n (for n large enough and explicitly determined). For p non split in K this construction extends a classical construction of N. Katz. This is joint work with Adrian Iovita.