Hiraku Atobe

collaborators

4 papers

math.NT2026

Harder's conjecture II

Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2

Let $f$ be a primitive form of weight $2 k + j - 2$ for $S L_{2} (Z)$ , and let $P$ be a prime ideal of the Hecke field of $f$ . We denote by $S p_{m} (Z)$ the Siegel modular group of degree $m$ .…

math.RT2026

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 $p$ -adic groups with $p\gg…

math.NT2025

Local Intertwining Relations and Co-tempered $A$ -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…

math.RT2025

Unitary dual of $p$ -adic split $SO_{2 n + 1}$ and $Sp_{2 n}$ : The good parity case (and slightly beyond)

Hiraku Atobe, Alberto Minguez

Let $F$ be a $p$ -adic field, and let $G$ be either the split special orthogonal group $SO_{2 n + 1} (F)$ or the symplectic group $Sp_{2 n} (F)$ , with $n \geq 0$ . We pro…

Harder's conjecture II

Endoscopic transfer and the wavefront upper bound conjecture

Local Intertwining Relations and Co-tempered A-packets of Classical Groups

Unitary dual of p-adic split SO2n+1​ and Sp2n​: The good parity case (and slightly beyond)

Local Intertwining Relations and Co-tempered $A$ -packets of Classical Groups

Unitary dual of $p$ -adic split $SO_{2 n + 1}$ and $Sp_{2 n}$ : The good parity case (and slightly beyond)