# Motivic Galois groups and periods

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Joseph Ayoub , Zurich University
Fine Hall 322

We explain how to associate a universal pro-algebraic group to the Betti realization functor from the triangulated category of motives over a subfield of $\mathbb{C}$. We then give a concrete description of the torsor of isomorphisms between the Betti realization and the de Rham realization. If time permits, some applications to periods will be sketched.