English

On rational points on classifying stacks and Malle's conjecture

Number Theory 2024-08-14 v2 Algebraic Geometry

Abstract

In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda--Yasuda on counting points of bounded height on classifying stacks. We illustrate the comparisons via the classifying stacks B(Z/nZ)B(\mathbb{Z}/n\mathbb{Z}) and BμnB{\mu_n}.

Keywords

Cite

@article{arxiv.2402.10355,
  title  = {On rational points on classifying stacks and Malle's conjecture},
  author = {Shabnam Akhtari and Jennifer Park and Marta Pieropan and Soumya Sankar},
  journal= {arXiv preprint arXiv:2402.10355},
  year   = {2024}
}
R2 v1 2026-06-28T14:50:13.456Z