  We propose a geometric strategy of giving explicit description of the
Langlands parameter of an irreducible supercuspidal representation of GL(n)
over a non-archimedean local field. The key is to compare the cohomology of an
affinoid in the Lubin-Tate space at infinite level and that of the reduction of
its formal model. As examples, we treat the cases of depth 0 supercuspidal
representations and simple supercuspidal representations.
