CORDIS Project
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The project aims to develop a new Galois theory for periods, which are complex numbers arising in various mathematical contexts. By exploring connections between periods and algebraic structures, it seeks to advance understanding in number theory and physics.
A period is a complex number defined by the integral of an algebraic differential form over a region defined by polynomial inequalities.
Examples include: algebraic numbers, elliptic integrals, and Feynman integrals in high-energy physics.
Many problems in mathematics can be cast as a statement involving periods. A deep idea, based on Grothendieck's philosophy of motives, is that there should be a Galois theory of periods, generalising classical Galois theory for algebraic numbers.
This reposes…
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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