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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 \(B\mu _n\) .

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On Rational Points on Classifying Stacks and Malle’s Conjecture

  • 会议论文

  • 出版模式：

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  • 发表日期：

    2026年

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  • Shabnam Akhtari,
  • Jennifer Park,
  • Marta Pieropan,
  • Soumya Sankar

摘要

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 \(B\mu _n\) .