Multiple zeta values and iterated Eisenstein integrals

Abstract: Multiple zeta values (MZVs) are a well-studied class of periods that may be described as iterated integrals on the projective line minus three points. Iterated Eisenstein integrals are another class of periods given as iterated integrals of Eisenstein series along the imaginary axis on the upper half plane. In this talk we sketch a result proving that all MZVs can be expressed as rational linear combinations of iterated Eisenstein integrals by interpreting both classes as periods of fundamental groups. As a corollary we obtain a new generator for the category of mixed Tate motives over the integers. This work is part of the speaker's PhD thesis, supervised by F. Brown (Oxford).

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