A Galois theory of supercongruences
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
Location: MSRI: Simons Auditorium
Galois theory
Galois orbits
Periods
prime powers
modular arithmetic
p-adic number theory
p-adic zeta functions
Coleman integrals
multiple zeta values
motivic Galois group
11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}
14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture
11Kxx - Probabilistic theory: distribution modulo $1$; metric theory of algorithms
Rosen
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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