REVIEW 4 cited by
Endoscopic transfer for unitary Lie algebras
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We give another proof of the existence of the endoscopic transfer for unitary Lie algebras and its compatibility with Fourier transforms. By the work of Kazhdan and Vashavsky, this implies the corresponding endoscopic fundamental lemma (theorem of Laumon--Ng\^o). We study the compatibility between Fourier transforms and transfers and we prove that the compatibility in the Jacquet-Rallis setting implies the compatibility in the endoscopic setting for unitary groups.
Forward citations
Cited by 4 Pith papers
-
Stable orbital integrals for classical Lie algebras and smooth integral models
A stratification and smoothening method gives exact stable orbital integral formulas for gl2, gl3, and u2, and new lower bounds for all n.
-
Ideal class monoids of cubic orders
A closed Euler product formula for the genus set cardinality of Gorenstein cubic orders is derived via explicit local overorder classification.
-
Global geometrization of local smooth integral models in the Hitchin fibration for $\mathrm{GL}_n$: The Bass case
The algebraic stratification of Hitchin fibers via local smoothening types is proven equivalent to the geometric stratification by partial normalizations for GL_n in the Bass case, yielding an explicit cohomology form...
-
Beyond Endoscopy for $\mathrm{GL}_3(\mathbb{Q})$: Functional equation for the $L$-function of a cubic order
Unconditional proof that Λ(s,R)=Λ(1−s,R) for Gorenstein orders R in cubic fields, rendering Deng–Espinosa’s isolation of the trivial representation for GL3(Q) fully unconditional.
Discussion (0). Continue with ORCID to comment.