On some applications of an integral formula of Hurwitz

Abstract: In this talk I would like to discuss mainly two topics both related to a classical integral formula of Hurwitz which is also known as the Feynman parametrization. First I would like to report on the construction of a new Eisenstein cocycle called the Shintani-Barnes cocycle which gives a cohomological description of the values of zeta functions of general number fields at positive integers. Then I would like to explain an observation towards the applications of such a description. More precisely, I would like to discuss a relationship between the values of zeta functions of totally real fields and a kind of conical zeta values.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October