报告题目:Green's Function and Arithmetic
报告时间:2023-10-19 16:00-17:00
报 告 人 :李英琨 教授 德国达姆施塔特工业大学
报告地点:理学院东北楼四楼学术报告厅
Abstract:Given an inhomogeneous linear
differential equation on a domain, it is a standard method to solve it using
Green's function. This also works for solving Poisson's equation on a
Riemannian manifold. When the domain is furthermore a moduli space, then special
values of Green's functions could have arithmetic applications. In this talk,
we will consider the case where the domain is the moduli space of isomorphism
classes of elliptic curves over the complex numbers, and give some recent
results about special values of Green's functions.