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Ma Luo (Rome) : Galois theory for multiple zeta values and multiple modular values (Oct 23, 2017 11:55 AM)

Periods are numbers that can be expressed as integrals of algebraic differential forms over domains defined by polynomial inequalities with rational coefficients. They form a subring of complex numbers, which contains multiple zeta values and multiple modular values. Although some periods are transcendental, one can work out a Galois theory for them using their defining algebraic data, which is how the classical Galois theory for algebraic numbers were developed. I will discuss Francis Brown's results on multiple zeta values and more recent work on multiple modular values.

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