Geodesic
Globalization of supercuspidal representations over function fields and applications
Journal of the European Mathematical Society, Tome 20 (2018) no. 11, pp. 2813-2858 Cet article a éte moissonné depuis la source EMS Press

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Let H be a connected reductive group defined over a non-archimedean local field F of characteristic p>0. Using Poincaré series, we globalize supercuspidal representations of HF​ in such a way that we have control over ramification at all other places, and such that the notion of distinction with respect to a unipotent subgroup (indeed more general subgroups) is preserved. In combination with the work of Vincent Lafforgue on the global Langlands correspondence, we present some applications, such as the stability of Langlands–Shahidi γ-factors and the local Langlands correspondence for classical groups.
DOI : 10.4171/jems/825
Classification : 11-XX, 22-XX
Keywords: Globalization, supercuspidal representations, function fields, local Langlands correspondence 
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     author = {Wee Teck Gan and Luis Lomel{\'\i}},
     title = {Globalization of supercuspidal representations over function fields and applications},
     journal = {Journal of the European Mathematical Society},
     pages = {2813--2858},
     year = {2018},
     volume = {20},
     number = {11},
     doi = {10.4171/jems/825},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/825/}
}
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Wee Teck Gan; Luis Lomelí. Globalization of supercuspidal representations over function fields and applications. Journal of the European Mathematical Society, Tome 20 (2018) no. 11, pp. 2813-2858. doi: 10.4171/jems/825

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