Corpus ID: 115156613

# Explicit non-abelian Lubin-Tate theory for GL(2)

@inproceedings{Weinstein2009ExplicitNL,
title={Explicit non-abelian Lubin-Tate theory for GL(2)},
author={Jared Weinstein},
year={2009}
}
• Jared Weinstein
• Published 2009
• Mathematics
• Let $F$ be a non-Archimedean local field with residue field $k$ of odd characteristic, and let $B/F$ be the division algebra of rank 4. We explicitly construct a stable curve $\mathfrak{X}$ over the algebraic closure of $k$ admitting an action of $GL_2(F)\times B^\times \times W_F$ which realizes the Jacquet-Langlands correspondence and the local Langlands correspondence in its cohomology.

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#### Citations

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## On the cuspidal representations of ${\rm GL}_2(F)$ of level 1 or 1/2 in the cohomology of the Lubin-Tate space $\mathcal{X}(\pi^2)$

• Mathematics
• 2011

## On the stable reduction of modular curves

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