A Galois theory of supercongruences
Location: MSRI: Simons Auditorium
p-adic number theory
p-adic zeta functions
multiple zeta values
motivic Galois group
A supercongruence is a congruence between rational numbers modulo a power of a prime. Many supercongruences are known for rational approximations of periods, and in particular for finite truncations of the multiple zeta value series. In this talk, I will explain how the Galois theory of multiple zeta values leads to a Galois theory of supercongruences.
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