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Regulators in function fields arithmetic

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

Inspired by the analogies between classical motives and Anderson t-motives, we suggest a definition of motivic regulators in function fields arithmetic. We then discuss the counterparts of Beilinson’s conjecture – which states that the regulator is an isomorphism under some weight assumption – in this setting.

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

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