Yugo Takanashi

activity

20242026

collaborators

4 papers

math.NT2026

Endoscopic description of the local Langlands correspondence for $G_{2}$

Yugo Takanashi

We prove that the $L$ -packets for $p$ -adic $G_{2}$ constructed by Gan and Savin satisfy the endoscopic character identities. In the course of the proof, we also prove twiste…

math.RT2026

On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $G_{2}$

Yugo Takanashi

We prove that the twisted endoscopic character identities between triality $PGSO_{8}$ and the endoscopic group $G_{2}$ imply the Hiraga-Ichino-Ikeda conjecture on for…

math.NT2025

A note on the Sauvageot density principle

Yugo Takanashi

In this short note, we address a gap in the proof of Sauvageot's density principle, which was pointed out in a paper by Nelson-Venkatesh.

math.NT2024

Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of $GL_{n}$

Yugo Takanashi, Satoshi Wakatsuki

In this paper, we study the asymptotic behavior of the sum of twisted traces of self-dual or conjugate self-dual discrete automorphic representations of $GL_{n}$ for the lev…

Endoscopic description of the local Langlands correspondence for G2​

On the Hiraga-Ichino-Ikeda conjecture on formal degrees for G2​

A note on the Sauvageot density principle

Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of GLn​

Endoscopic description of the local Langlands correspondence for $G_{2}$

On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $G_{2}$

Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of $GL_{n}$