English

The local twisted Gan-Gross-Prasad conjecture for $\text{U}(V_K)/\text{U}(V)$

Representation Theory 2025-11-04 v1 Number Theory

Abstract

In this paper, we obtain geometric expansions of a local trace formula and its twisted variant for the twisted Gan-Gross-Prasad conjecture. As an application, we prove the local twisted Gan-Gross-Prasad conjecture for U(VK)/U(V)U(V_K)/U(V) for tempered LL-parameters over nonarchimedean fields of odd residual characteristic.

Keywords

Cite

@article{arxiv.2511.01301,
  title  = {The local twisted Gan-Gross-Prasad conjecture for $\text{U}(V_K)/\text{U}(V)$},
  author = {Nhat Hoang Le},
  journal= {arXiv preprint arXiv:2511.01301},
  year   = {2025}
}

Comments

This is a preliminary version. Comments are welcome