Recently, Heiermann and I have constructed the local Langlands parameter that
corresponds to an irreducible generic admissible representation of GSpin groups
(the generic local Langlands correspondence for GSpin groups). I further study the
structure of the L-packet which contains a generic representation (strong version of
the generic Arthur packet conjecture). The generic Arthur packet conjecture states
that if the L-packet attached to an Arthur parameter has a generic member, then
it is a tempered L-packet. If time permits, I will explain the case of classical groups
as well.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246