The arithmetic of power series - Lecture 1
De Yunqing Tang
Apparaît dans la collection : Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025
We will first briefly discuss our approach to prove irrationality of certain periods. Our method uses rational approximations from the literature and we develop a new framework to make use of these approximations. The key ingredient is an arithmetic holonomy theorem built upon earlier work by André, Bost, Charles (and others) on arithmetic algebraization theorems via Arakelov theory. We will then discuss our recent result on irrationality measures. This is joint work with Frank Calegari and Vesselin Dimitrov.
