[PDF][PDF] Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
It has been almost 20 years since two of us proposed a rather speculative approach to the
problem of restriction of irreducible representations from SOn to SOn− 1 [GP1, GP2]. Our …
problem of restriction of irreducible representations from SOn to SOn− 1 [GP1, GP2]. Our …
Formal degrees and local theta correspondence
WT Gan, A Ichino - Inventiones mathematicae, 2014 - Springer
Let F be a non-archimedean local field of characteristic 0 and residual characteristic p. Let G
be a reductive linear algebraic group over F; we shall identify G with its group of rational …
be a reductive linear algebraic group over F; we shall identify G with its group of rational …
The Gross–Prasad conjecture and local theta correspondence
WT Gan, A Ichino - Inventiones mathematicae, 2016 - Springer
Abstract We establish the Fourier–Jacobi case of the local Gross–Prasad conjecture for
unitary groups, by using local theta correspondence to relate the Fourier–Jacobi case with …
unitary groups, by using local theta correspondence to relate the Fourier–Jacobi case with …
The local theta correspondence and the local Gan–Gross–Prasad conjecture for the symplectic-metaplectic case
H Atobe - Mathematische Annalen, 2018 - Springer
We prove the local Gan–Gross–Prasad conjecture for the symplectic-metaplectic case under
some assumptions. This is the last case of the local Gan–Gross–Prasad conjectures which …
some assumptions. This is the last case of the local Gan–Gross–Prasad conjectures which …
Distinguished representations, base change, and reducibility for unitary groups
UK Anandavardhanan, CS Rajan - International Mathematics …, 2005 - ieeexplore.ieee.org
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method
and the Langlands-Shahidi method for a square-integrable representation of GL n (E). As a …
and the Langlands-Shahidi method for a square-integrable representation of GL n (E). As a …
Restrictions of representations of classical groups: examples
In an earlier paper, we considered several restriction problems in the representation theory
of classical groups over local and global fields. Assuming the Langlands-Vogan …
of classical groups over local and global fields. Assuming the Langlands-Vogan …
Bessel models for real unitary groups: the tempered case
H Xue - Duke Mathematical Journal, 2023 - projecteuclid.org
Bessel models for real unitary groups: The tempered case Page 1 BESSEL MODELS FOR REAL
UNITARY GROUPS: THE TEMPERED CASE HANG XUE Abstract We prove the local …
UNITARY GROUPS: THE TEMPERED CASE HANG XUE Abstract We prove the local …
Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
We consider several questions about restriction of representations of classical and
metaplectic groups over local and global fields to subgroups, extending considerably the …
metaplectic groups over local and global fields to subgroups, extending considerably the …
[HTML][HTML] The Gan–Gross–Prasad conjecture for U (n)× U (n)
H Xue - Advances in Mathematics, 2014 - Elsevier
The Gan–Gross–Prasad conjecture for U(n)×U(n) - ScienceDirect Skip to main contentSkip
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Arithmetic of higher coherent cohomology of Shimura varieties
G Oh - 2022 - search.proquest.com
In this thesis, we study various arithmetic properties of the higher (namely, H i with i> 0)
coherent cohomology of Shimura varieties and their applications on automorphic forms …
coherent cohomology of Shimura varieties and their applications on automorphic forms …