This conference would be the fourth event in the thematic month. Differential Galois theory aims to understand the relationships satisfied by solutions of linear functional equations. By functional equations, we mean both differential and difference equations.
Thus, this theory is a powerful tool for proving the transcendence of functions arising mainly from combinatorics. This area of study has gained significant interest in the past decade and has brought together a young and active scientific community.
To bridge the gap with Week 3, we have considered offering a course on Differential Galois Theory. To connect with Week 5, three shorter courses are planned that apply differential Galois theory to combinatorics and number theory. These courses would include a session on E-functions and G-functions, a session on Mahler functions, and a session on periods.

Conference proceedings will be published in a special issue of Publications Mathematiques de Besançon. The deadline for submissions is July 1, 2025. If you are interested in submitting a paper, please send it to one of the week’s organizers.