Poincaré institute

Reinventing rational points

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Endomorphisms of certain superelliptic jacobians and \(l\)-adic Lie algebras

Yuri Zarhin

The subject of this talk is a certain explicitly constructed class of superelliptic jacobians defined over global fields with small endomorphism rings. We also discuss \(l\)-adic Lie algebras that correspond to the Galois actions on Tate modules of these jacobians.