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Representations of reductive groups over local fields

· 2022 · math.RT · arXiv 2201.07741

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abstract

We discuss progress towards the classification of irreducible admissible representations of reductive groups over non-archimedean local fields and the local Langlands correspondence. We also state some (partly conjectural) compatibility properties of the refined local Langlands correspondence.

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2024 1

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Stability of Elliptic Fargues-Scholze $L$-packets

math.RT · 2024-12-31 · conditional · novelty 7.0

For elliptic Fargues-Scholze L-parameters, a non-zero integer combination of Harish-Chandra characters of packet members is stable under stable conjugacy.

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  • Stability of Elliptic Fargues-Scholze $L$-packets math.RT · 2024-12-31 · conditional · none · ref 23 · internal anchor

    For elliptic Fargues-Scholze L-parameters, a non-zero integer combination of Harish-Chandra characters of packet members is stable under stable conjugacy.