English

Mass of the Frobenius functional on small balls

Number Theory 2024-08-21 v1 Representation Theory

Abstract

We show that for a co-compact lattice in a semi-simple quasi-split real group and a fixed abstractly generic automorphic representation, Frobenius functional assigns small mass to small balls in the Orbit Method picture of P. Nelson and A. Venkatesh (Acta Math., 226, (2021), 1-209).

Keywords

Cite

@article{arxiv.2408.10793,
  title  = {Mass of the Frobenius functional on small balls},
  author = {Andre Reznikov},
  journal= {arXiv preprint arXiv:2408.10793},
  year   = {2024}
}