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The leading constant in Malle’s conjecture

Algebraic Geometry and Number Theory Seminar

Date: Thursday, April 18, 2024 13:00 - 15:00
Speaker: Tim Santens (KU Leuven)
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tim Browning

Malle has conjectured the order of growth of the number of field extensions with Galois group G of bounded discriminant, but he did not provide a conjecture for the leading constant. In this talk I will discuss joint work with Loughran where we give a prediction for the leading constant in Malles conjecture in analogy with Peyres constant for Manins conjecture, based on the analogy that Malles conjecture is Manins conjecture for the stack BG.

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