English

Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions

Representation Theory 2024-12-06 v3 Number Theory

Abstract

Using a relative trace formula approach, we prove the twisted global Gan-Gross-Prasad conjecture for U(V)GL(V)\operatorname{U}(V) \subseteq \operatorname{GL}(V), as well as its refinement, under some unramifiedness assumptions and local conditions on the quadratic extension and the automorphic representation.

Keywords

Cite

@article{arxiv.2307.15234,
  title  = {Twisted Gan-Gross-Prasad conjecture for unramified quadratic extensions},
  author = {Danielle Wang},
  journal= {arXiv preprint arXiv:2307.15234},
  year   = {2024}
}