# 2022 Québec-Maine Number Theory Conference talk: Computation of values of zeta functions using Eisensteins series

The next 15 of October, at 12:00 h (Montréal time), I will conduct a Talk in the Québec-Main Number Theory Conference (Québec-Main Number Theory Conference) about the computation of zeta function values using Eisenstein series. Below you can see the title and the abstract of the talk.

**Title:** Computation of values of zeta functions using Eisensteins series

**Abstract:** In this talk we shall explain how Eisenstein Series can be used to compute values of zeta functions
using an idea of Colmez. We will start by presenting the computational method, and its related concepts, in the
simplest setting namely when the base field is Q and the corresponding zeta function is the classical Riemann zeta
function. Then we shall generalize the procedure to zeta functions of real quadratic fields. In particular, when
applied to the value at s = 1 of a special class of zeta functions, this provides a way for computing Stark’s units over
real quadratic fields with the help of the LLL algorithm.

If you wish to see the official talk sheet, it can be seen in sheet.