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Thu, 25 Apr 2024
16:00
Lecture Room 4, Mathematical Institute

The leading constant in Malle's conjecture

Dan Loughran
(University of Bath)
Abstract

A conjecture of Malle predicts an asymptotic formula for the number of number fields with given Galois group and bounded discriminant. Malle conjectured the shape of the formula but not the leading constant. We present a new conjecture on the leading constant motivated by a version for algebraic stacks of Peyre's constant from Manin's conjecture. This is joint work with Tim Santens.

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