Hodge Filtrations on Tempered Hodge Modules

Published 18 Jun 2022 in math.RT and math.AG | (2206.09091v3)

Abstract: We show that the Hodge filtration of a tempered Hodge module is generated by the lowest piece of its Hodge filtration. As a consequence, we prove the main conjecture of [SV] in the special case of tempered representations of real reductive Lie groups.

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