Title: Interpolating between the Batyrev-Manin and Malle Conjectures
Speaker: Matthew Satriano (University of Waterloo)
Abstract: The Batyrev-Manin conjecture gives a prediction for the asymptotic growth of rational points on varieties over number fields when we order the points by height. The Malle conjecture predicts the asymptotic growth rate for number fields of degree d when they are ordered by discriminant. The two conjectures have the same form and it is natural to ask if they are in fact one in the same. We give a conjecture for rational point counts on stacks and show how it specializes to the two aforementioned conjectures. This is joint work with Jordan Ellenberg and David Zureick-Brown.
Seminar URL: https://research.math.osu.edu/agseminar/