Leading constant in Malle's conjecture

Abstract: Let G be a finite permutation group, Malle has put forward a conjecture on the number of G-extensions of a number field of bounded discriminant. There exists a superficially similar conjecture by Manin on the number of points of bounded height on varieties. In this talk I will discuss recent efforts to interpret Malle's conjecture as a form of Manin's conjecture for the stack BG. Based on this analogy me and Loughran have given a conjectural interpretation of the leading constant in Malle's conjecture.

number theory

Audience: researchers in the topic

London number theory seminar

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