Representations of reductive groups over local fields

Tasho Kaletha

Representations of reductive groups over local fields

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arxiv 2201.07741 v2 pith:WI7FPTPO submitted 2022-01-19 math.RT math.NT

Tasho Kaletha This is my paper · ORCID

classification math.RTmath.NT

keywords localcorrespondencefieldsgroupslanglandsreductiverepresentationsadmissible

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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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Stability of Elliptic Fargues-Scholze $L$-packets
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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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