English

The unipotent mixing conjecture

Number Theory 2024-04-29 v3

Abstract

We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves.

Keywords

Cite

@article{arxiv.2305.02287,
  title  = {The unipotent mixing conjecture},
  author = {Valentin Blomer and Philippe Michel},
  journal= {arXiv preprint arXiv:2305.02287},
  year   = {2024}
}

Comments

26 pages, small inaccuracy fixed before Prop 5.1

R2 v1 2026-06-28T10:24:49.858Z