CORDIS Project
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This project explores the applications of exponential motives in understanding arithmetic Gevrey series, which are power series with algebraic coefficients. It aims to investigate their transcendence properties, differential equations, and integral representations, particularly in relation to algebraic varieties and th…
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…
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