Description du sujet de thèse

Iterated exponential integrals.
The goal of this thesis is to explore an "exponential" variant of the theory of iterated integrals, in which one is allowed to integrate the exponential of a regular function on an algebraic variety. First, we will find families of interesting examples where we can compute the integrals, relate them to special functions, and write down groups of rapid decay cohomology anologous to those appearing in the Beilinson theorem. Secondly, we will explore the links to exponential mixed Tate motives.

Contexte de travail

The postdoc will be part of the team of Prof. Javier Fresán at the Number Theory team of IMJ-PRG at Sorbonne Université.

Contraintes et risques

Nothing to report