Tasho Kaletha
Genericity and contragredience in the local Langlands correspondence.
Tue, 04/03/2012 - 15:01 — SomNambulAuthors: Tasho Kaletha
Subjects: Representation Theory
AbstractRecently Adams and Vogan made a conjecture about the behavior of the local
Langlands correspondence with respect to taking the contragredient of a
representation. We prove this conjecture for the tempered L-packets of
quasi-split classical p-adic groups constructed by Arthur. More precisely, we
formulate a slight generalization of their conjecture and prove it for tempered
representations of quasi-split real K-groups and quasi-split symplectic and
special orthogonal p-adic groups.- Read more
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Decomposition of splitting invariants in split real groups.
Tue, 01/05/2010 - 16:01 — SomNambulAuthors: Tasho Kaletha
Subjects: Representation Theory
AbstractTo a maximal torus in a quasi-split semi-simple simply-connected group over a
local field of characteristic 0, Langlands and Shelstad construct a
cohomological invariant called the splitting invariant, which is an important
component of their endoscopic transfer factors. We study this invariant in the
case of a split real group and prove a decomposition theorem which expresses
this invariant for a general torus as a product of the corresponding invariants
for simple tori.Endoscopic character identities for depth-zero supercuspidal L-packets.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Tasho Kaletha
Subjects: Representation Theory
AbstractWe prove the conjectural endoscopic transfer of L-packets for the local
Langlands correspondence for pure inner forms of unramified p-adic groups and
depth-zero parameters established by DeBacker and Reeder. More precisely, we
show that under mild conditions on the residual characteristic, endoscopic
induction identifies an unstable character of such an L-packet with the stable
character of the corresponding endoscopic L-packet.
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