Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, II

Abstract

In the even equal characteristic case, we define a family of affinoids in the Lubin–Tate curve and compute their reductions. The reduction of the affinoid is isomorphic to a smooth affine curve, whose smooth compactification either has high genus or is isomorphic to a supersingular elliptic curve in characteristic two. The first cohomology of the reductions is expected to realize the local Langlands correspondence and the local Jacquet–Langlands correspondence for cuspidal representations of a general linear group of degree two of conductor exponent seven.