Motivic Fundamental Group of CM Elliptic Curves and Geometry of Bianchi Hyperbolic Threefolds | Vidéo | Carmin.tv

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Motivic Fundamental Group of CM Elliptic Curves and Geometry of Bianchi Hyperbolic Threefolds

By Alexander Goncharov

Appears in collection : Journée Gretchen & Barry Mazur

Let N be an ideal in the ring O of gaussian integers. We consider the action of the motivic Galois group on the motivic fundamental group of the elliptic curve with CM by the ring O, punctured at the N-torsion points, and relate it to the geometry of the Bianchi threefold obtained by taking the quotient of the hyperbolic space by a congruence subgroup of GL(2,O) determined by the ideal N.

Information about the video

Date of recording 05/07/2019
Date of publication 06/07/2019
Institution IHES
Format MP4

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