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Multiplicative properties of higher regulators via current transforms

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

We discuss applications of geometric current transforms to explicit formulas for regulator maps into integral Deligne-Beilinson cohomology, utilizing Suslin’s equidimensional cycles approach to higher Chow groups. This regulator map presents surprisingly pleasant multiplicative properties at the level of complexes, which are related to characters of certain Hopf algebras. 

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

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