CORDIS Project
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This project explores the modularity of q-hypergeometric series to enhance understanding in number theory and its applications in physics, particularly in areas like combinatorics and black holes. It aims to develop a comprehensive framework that connects these mathematical concepts with automorphic forms.
This proposal aims to unravel mysteries at the frontier of number theory and other areas of mathematics and physics.
The main focus will be to understand and exploit “modularity” of q-hypergeometric series. “Modular forms are functions on the complex plane that are inordinately symmetric.” (Mazur) The motivation comes from the wide-reaching applications of modularity in combinatorics, percolation, Lie theory, and physics (black holes).The interplay between automorphic forms, q-series, and other…
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