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Tim Santens (Cambridge)
Tuesday 26 November 2024, 14:30-15:30
The leading constant in Malle's conjecture
- đ¤ Speaker: Tim Santens (Cambridge)
- đ Date & Time: Tuesday 26 November 2024, 14:30 - 15:30
- đ Venue: MR13
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Jef Laga
Abstract
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.
Series This talk is part of the Number Theory Seminar series.
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