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Creators/Authors contains: "Schwein, David"

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  1. (, Journal of the European Mathematical Society)
    Supercuspidal representations are usually infinite-dimensional, so the size of such a representation cannot be measured by its dimension; the formal degree is a better alternative. Hiraga, Ichino, and Ikeda conjectured a formula for the formal degree of a supercuspidal in terms of its L-parameter only. Our first main result is to compute the formal degrees of the supercuspidal representations constructed by Yu. Our second result, using the first, is to verify that Kaletha’s regular supercuspidal L-packets satisfy the conjecture. 
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  2. (, Mathematische Annalen)
    Abstract We show that an orthogonal root number of a temperedL-parameter $$\varphi $$ φ decomposes as the product of two other numbers: the orthogonal root number of the principal parameter and the value on a central involution of Langlands’s central character for $$\varphi $$ φ . The formula resolves a conjecture of Gross and Reeder and computes root numbers of Weil–Deligne representations arising in a conjectural description of the Plancherel measure. 
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