Combinatorial multiple Eisenstein series

Abstract: Multiple q-zeta values are formal q-series, which return multiple zeta values as q goes to 1. The space of multiple q-zeta values can be spanned by various different models. In this talk, we will report on our search for a model that is graded with respect to the usual multiplication of q-series. More precisely, we are interested in q-series whose generating series yield a swap invariant and symmetril bimould. In lowest depth, these q-series are given by Eisenstein series and their derivatives. Therefore we call this model the combinatorial multiple Eisenstein series. The construction relies on the bi-brackets introduced by Bachmann, as well as a rational solution to the classical double shuffle equations of multiple zeta values. This talk is based on joint work with H. Bachmann.

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