42 citations · 82 across the 21 of their papers we have counts for
23 papers
Endoscopic transfer and the wavefront upper bound conjecture
Hiraku Atobe, Dan Ciubotaru
We verify the local analogue of Jiang's conjecture for the upper bound of the geometric wavefront sets of Arthur type representations of split classical -adic groups with $p\gg…
Unitary dual of -adic split and : The good parity case (and slightly beyond)
Hiraku Atobe, Alberto Minguez
Let be a -adic field, and let be either the split special orthogonal group or the symplectic group , with . We pro…
Local Intertwining Relations and Co-tempered -packets of Classical Groups
Hiraku Atobe, Wee Teck Gan, Atsushi Ichino +3
The local intertwining relation is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. We pro…
Local newforms for generic representations of unramified even unitary groups I: Even conductor case
Hiraku Atobe
In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible t…
Harder's conjecture II
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form of weight for , and let be a prime ideal of the Hecke field of . We denote by the Siegel modular group of degree .…
An analogue of ladder representations for classical groups
Hiraku Atobe
In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic ze…
Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma
Hiraku Atobe, Masao Oi, Seidai Yasuda
In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For t…
The set of local A-packets containing a given representation
Hiraku Atobe
In this paper, we give an algorithm to determine all local A-packets containing a given irreducible representation of a p-adic classical group. Especially, we can determine whether…
Local newforms for the general linear groups over a non-archimedean local field
Hiraku Atobe, Satoshi Kondo, Seidai Yasuda
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of -adic general linear groups indexed by non-negative integers, and established the the…
On the socles of certain parabolically induced representations of -adic classical groups
Hiraku Atobe
In this paper, we consider representations of -adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthu…
Harder's conjecture I
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form with respect to . Then we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Duke-Imamoglu-Ikeda lift of and…
Construction of local A-packets
Hiraku Atobe
In this paper, we reformulate Moeglin's explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups. By this reformulation together with r…
The explicit Zelevinsky-Aubert duality
Hiraku Atobe, Alberto Minguez
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of -adic symplectic and odd special orthogonal groups. To d…
On an algorithm to compute derivatives
Hiraku Atobe
In this paper, we complete Jantzen's algorithm to compute the highest derivatives of irreducible representations of -adic odd special orthogonal groups or symplectic groups. As…
Jacquet modules and local Langlands correspondence
Hiraku Atobe
In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal…
Applications of Arthur's multiplicity formula to Siegel modular forms
Hiraku Atobe
We give two applications of Arthur's multiplicity formula to Siegel modular forms. The one is a lifting theorem for vector valued Siegel modular forms, which contains Miyawaki's co…
A theory of Miyawaki liftings: The Hilbert-Siegel case
Hiraku Atobe
The Miyawaki liftings are defined by the pullbacks of Ikeda liftings. Recently, Ikeda and Yamana extended the theory of Ikeda liftings. In this paper, using their results, we estab…
On the non-vanishing of theta liftings of tempered representations of U(p,q)
Hiraku Atobe
In this paper, we give an explicit determination of the non-vanishing of the theta liftings for unitary dual pairs (U(p,q), U(r,s)). Assuming the local Gan-Gross-Prasad conjecture,…
Local Theta correspondence of Tempered Representations and Langlands parameters
Hiraku Atobe, Wee Teck Gan
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field of characteristic . We det…
On the local Langlands correspondence for quasi-split even orthogonal groups
Hiraku Atobe, Wee Teck Gan
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O_{2n} established by Arthur. We give two applications: Prasad's conjecture and G…
On the uniqueness of generic representations in an -packet
Hiraku Atobe
In this paper, we give a simple and short proof of the uniqueness of generic representations in an -packet for a quasi-split connected classical group over a non-archimedean loc…
The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case
Hiraku Atobe
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. We also…
Pullbacks of hermitian Maass lifts
Hiraku Atobe
We consider pullbacks of hermitian Maass lifts of degree 2 to the diagonal matrices. By using the pullbacks, we give an explicit formura for central values of L-functions for GL(2)…