Algebraic independence of Carlitz’s polylogarithms

Abstract: Over function fields, Carlitz polylogarithms are the counterpart of classical polylogarithms. The algebraic relations among values of Carlitz polylogarithms were studied by many authors, including Anderson, Thakur, Papanikolas, Chang and Yu. In this talk, I will discuss the new informations one can collect on this subject from « t-Motivic Cohomology », a tool introduced in my thesis akin to the cohomology of hypothetical (classical) mixed motives.

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