ERC Consolidator Grant · 2024
Exponential Motives and Arithmetic Gevrey Series
Exponential motives are a powerful tool for the study of a host of objects attached to an algebraic variety along with a regular function, ranging from exponential sums over finite fields in analytic number theory to Landau-Ginzburg models in mirror symmetry. This project revolves around applications of the abstract theory of exponential motives to concrete problems pertaining to arithmetic Gevrey series, after my recent breakthrough in solving a 1929 question by Siegel. Arithmetic Gevrey series are power series with algebraic coefficients that satisfy a differential equation and certain growth conditions of arithmetic nature. Depending on the specific shape of these conditions, they come…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.