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arXiv · 1408.0461

The standard sign conjecture on algebraic cycles: the case of Shimura varieties

Sophie Morel·Junecue Suh
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Abstract

We show how to deduce the standard sign conjecture (a weakening of the K\"unneth standard conjecture) for Shimura varieties from some statements about discrete automorphic representations (Arthur's conjectures plus a bit more). We also indicate what is known (to us) about these statements.

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Sophie Morel, Junecue Suh. 2014-08-03. The standard sign conjecture on algebraic cycles: the case of Shimura varieties. https://arxiv.org/abs/1408.0461

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