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arXiv · 2402.10355

On rational points on classifying stacks and Malle's conjecture

Shabnam Akhtari·Jennifer Park·Marta Pieropan·Soumya Sankar
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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 $B(\mathbb{Z}/n\mathbb{Z})$ and $B{μ_n}$.

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Shabnam Akhtari, Jennifer Park, Marta Pieropan, Soumya Sankar. 2024-08-13. On rational points on classifying stacks and Malle's conjecture. https://arxiv.org/abs/2402.10355

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