Geometric realization of the local Langlands correspondence for representations of conductor three

Abstract

We prove a realization of the local Langlands correspondence for two-dimensional representations of a Weil group of conductor three in the cohomology of Lubin-Tate curves by a purely local geometric method.

23 pages

References in corpus (5)

• Local Galois representations of Swan conductor one
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
• On non-abelian Lubin-Tate theory for GL(2) in the odd equal characteristic case
• Cohomology of rigid curves with semi-stable coverings

Cited by in corpus (5)

• Local Galois representations of Swan conductor one
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
• Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
• Local Langlands correspondences in $\ell$-adic coefficients
• On non-abelian Lubin-Tate theory for GL(2) in the odd equal characteristic case