Hirotaka Kakuhama

activity

20182024

collaborators

4 papers

math.RT2024

Local theta correspondences and Langlands parameters for rigid inner twists

Hirotaka Kakuhama

In this paper, we formulate a conjecture that describes the local theta correspondences in terms of the local Langland correspondences for rigid inner twists, which contain the cor…

math.NT2020

Formal degrees and the local theta correspondence: the quaternionic case

Hirotaka Kakuhama

In this paper, we determine a constant occurring in a local analogue of the Siegel-Weil formula, and describe the behavior of the formal degrees under the local theta correspondenc…

math.NT2020

On the local doubling $γ$ -factor for classical groups over function fields

Hirotaka Kakuhama

In this paper, we give a precise definition of an analytic $γ$ -factor of an irreducible representation of a classical group over a local function field of odd characteristic so tha…

math.NT2018

On the local factors of irreducible representations of quaternionic unitary groups

Hirotaka Kakuhama

In this paper, we give a precise definition of the analytic $γ$ -factors of irreducible representations of quaternionic unitary groups, which extends a work of Lapid-Rallis.

Local theta correspondences and Langlands parameters for rigid inner twists

Formal degrees and the local theta correspondence: the quaternionic case

On the local doubling γ-factor for classical groups over function fields

On the local factors of irreducible representations of quaternionic unitary groups

On the local doubling $γ$ -factor for classical groups over function fields