数学研究所

学术报告

数论研讨班

Speaker: Tim Santens（University of Cambridge）

Inviter: 黄治中 副研究员

Language: English

Title: Leading constant in Malle's conjecture

Time&Venue: 2025年4月28日（星期一） 16:30-17:30 & Zoom:Meeting ID: 868 2110 1003 Passcode: 511544

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. In this talk I will discuss recent efforts to interpret Malle's conjecture as a form of Manin's conjecture on rational points of bounded height for the stack BG. Based on this analogy me and Loughran have given a conjectural interpretation of the leading constant in Malle's conjecture.