July 5, 2019
Europe/Paris timezone

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

Jul 5, 2019, 10:00 AM
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons


Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette


Prof. Alexander Goncharov (Yale University & IHES)


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.

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