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A Galois theory of supercongruences

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 31, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Julian Rosen (University of Michigan)
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

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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.

28379?type=thumb Rosen.Notes 680 KB application/pdf Download
Video/Audio Files


H.264 Video Rosen.mp4 617 MB video/mp4 rtsp://videos.msri.org/data/000/028/138/original/Rosen.mp4 Download
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