On the Local Langlands Conjecture and Related Problems over p-adic Local Fields

摘要

We discuss two issues related to the Local Langlands Conjecture over p-adic local fields. One is about the uniqueness of the local Langlands reciprocity map, which is a consequence of the local converse theorem; and the other is to establish the Local Langlands Conjecture for quasi-split classical groups based on the result for the tempered case, which is obtained by J. Arthur for symplectic and orthogonal groups and by C.-P. Mok for unitary groups.