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Special values of Zeta-functions of regular schemes projective over the integers

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KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

We give a conjectured formula ex[ressing special values of Zeta-functions in terms of motivic cohomology, singular cohomology, and derived de Rham cohomology.  This formula implies the conjecture of Birch and Swinnerton-Dyer for Jacobians of curves over number fields and conjectures relating Dedekind zeta-functions to algebraic K-theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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