This monograph explores the geometry of the neighborhood Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic crew over a neighborhood box by way of the complicated twin crew and the Weil-Deligne staff. For p-adic fields, this conjecture has now not been proved; however it has been sophisticated to an in depth number of (conjectural) relationships among p-adic illustration conception and geometry at the area of p-adic illustration conception and geometry at the house of p-adic Langlands parameters. This e-book offers and creation to a couple glossy geometric tools in illustration thought. it truly is addressed to graduate scholars and examine staff in illustration concept and in automorphic forms.
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