Galois actions on operads
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
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
11Rxx - Algebraic number theory: global fields {For complex multiplication, see 11G15}
14C30 - Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture
14C35 - Applications of methods of algebraic $K$-theory [See also 19Exx]
55Pxx - Homotopy theory {For simple homotopy type, see 57Q10}
Horel
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
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Horel.Notes
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Horel
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8-Horel.mp4
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