On the Local Langlands Conjecture in Prime Dimension

Let F be a local field of residual characteristics p. Then it is a conjecture of Langlands [JL] that there should be a natural bijection between the set of n-dimensional semisimple representations of the absolute Weil-Deligne group of F and the set of irreducible admissible representations of GLn(F). Some cases of this conjecture have been established [He… CONTINUE READING