The leading constant in Malle's conjecture

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• Tim Santens (Cambridge)
• Tuesday 26 November 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

Malle has conjectured an asymptotic formula for the number of number fields with given Galois group and bounded discriminant, but this conjecture does not include a leading constant. In this talk I will describe a conjectural interpretation for the leading constant, based on an analogy with Manin’s conjecture on the number of rational points of bounded height on varieties. A novel object which explains some surprising properties of the leading constant is the (partially) unramified Brauer group of a finite group.

This talk is part of the Number Theory Seminar series.

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