On rational points on classifying stacks and Malle's conjecture
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2024-08-13
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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(Z/nZ) and Bµn.
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Pieropan, M, Akhtari, S, Park, J & Sankar, S 2024 'On rational points on classifying stacks and Malle's conjecture' arXiv. https://doi.org/10.48550/arXiv.2402.10355