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Galois actions on operads

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

March 28, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Geoffroy Horel (Université de Paris XIII (Paris-Nord))
Location: MSRI: Simons Auditorium
  • Galois theory

  • Galois orbits

  • Periods

  • operads

  • Galois representations

  • absolute Galois group

  • Grothendieck-Teichmuller group

  • etale homotopy groups

  • algebraic geometry

  • Belyi's theorem

  • homotopy theory

  • homotopy types

  • profinite groups

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



The Grothendieck-Teichmüller group is a profinite group that contains the absolute Galois group of the rational numbers and is conjecturally isomorphic to it. In this talk I will explain how one can understand this group using the homotopy theory of operads. This is joint work with Pedro Boavida de Brito and Marcy Robertson

28371?type=thumb Horel.Notes 1.24 MB application/pdf Download
Video/Audio Files


H.264 Video 8-Horel.mp4 477 MB video/mp4 rtsp://videos.msri.org/data/000/028/108/original/8-Horel.mp4 Download
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